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Pith Number

pith:45L2VSW7

pith:2011:45L2VSW75LE5F3WAXFHY5QHV7Y
not attested not anchored not stored refs pending

Lookback time and Chandra constrains on cosmological parameters

A.Caramete, D. Tonoiu, L.A. Popa

arxiv:1107.4867 v1 · 2011-07-25 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{45L2VSW75LE5F3WAXFHY5QHV7Y}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T04:16:54.428381Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e757aacadfeac9d2eec0b94f8ec0f5fe0a13a07af0d785103564fe53e5398b23

Aliases

arxiv: 1107.4867 · arxiv_version: 1107.4867v1 · doi: 10.48550/arxiv.1107.4867 · pith_short_12: 45L2VSW75LE5 · pith_short_16: 45L2VSW75LE5F3WA · pith_short_8: 45L2VSW7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/45L2VSW75LE5F3WAXFHY5QHV7Y \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e757aacadfeac9d2eec0b94f8ec0f5fe0a13a07af0d785103564fe53e5398b23
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ac2ffe5bf2b688c4cd40f7850fac3aec65d8f9559c8635107a5d984a2cefa911",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-07-25T08:47:03Z",
    "title_canon_sha256": "42007e5f6424bbe4b5d4fbb11f5d230c34c50aa4e8ff0dac7f716d8f33791e8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4867",
    "kind": "arxiv",
    "version": 1
  }
}