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We present the first results from our pilot 500 ks Chandra-LETG Large Programobservation of the soft X-ray brightest source in the z>=0.4 sky, the blazar1ES 1553+113, aimed to secure the first uncontroversial detections of themissing baryons in the X-rays.  We identify a total of 11 possible absorption lines, with single-linestatistical significances between 2.2-4.1\sigma. Six of these lines aredetected at high single-line statistical significance (3.6 <= sigma <= 4.1),while the remaining five are regarded as marginal detections in associationwith either other X-ray lines detected at higher significance and/orFar-Ultraviolet (FUV) signposts. In particular, five of these possibleintervening absorption lines, are identified as CV and CVI K\alpha absorbersbelonging to three WHIM systems at z_X = 0.312, z_X = 0.237 and <z_X> = 0.133,which also produce broad HI (and OVI for the z_X = 0.312 system) absorption inthe FUV. For two of these systems (z_X = 0.312 and 0.237), the Chandra X-raydata led the a-posteriori discovery of physically consistent broad HIassociations in the FUV, so confirming the power of the X-ray-FUV synergy forWHIM studies. The true statistical significances of these three X-rayabsorption systems, after properly accounting for the number of redshifttrials, are 5.8 sigma (z_X = 0.312; 6.3 sigma if the low-significance OV and CVK-beta associations are considered), 3.9 sigma (z_X = 0.237), and 3.8 sigma(\langle z_X \rangle = 0.133), respectively.

Chandra View of the Warm-Hot IGM toward 1ES 1553+113: Absorption Line Detections and Identifications (Paper I)