Pith Number

pith:ZPTEC7O2

pith:2010:ZPTEC7O2LTZCZXFCVFG2K7FTJ3

not attested not anchored not stored refs pending

Observational Constraints on Cosmological Models with the Updated Long Gamma-Ray Bursts

Hao Wei

arxiv:1004.4951 v3 · 2010-04-28 · astro-ph.CO · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPTEC7O2LTZCZXFCVFG2K7FTJ3}

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	2026-05-18T02:33:33.347147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe6417dda5cf22cdca2a94da57cb34ec0ced725722675b85db74eaad32bcc60

Aliases

arxiv: 1004.4951 · arxiv_version: 1004.4951v3 · doi: 10.48550/arxiv.1004.4951 · pith_short_12: ZPTEC7O2LTZC · pith_short_16: ZPTEC7O2LTZCZXFC · pith_short_8: ZPTEC7O2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZPTEC7O2LTZCZXFCVFG2K7FTJ3 \
  | 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: cbe6417dda5cf22cdca2a94da57cb34ec0ced725722675b85db74eaad32bcc60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd91891307fc9b2dc744d24b8f9044bb1bc0015b40daf042c105f7e1c3815123",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-04-28T04:28:00Z",
    "title_canon_sha256": "d894392e00edfc360bec8e957ab81983670f5abbbde48bc94d3464b5acafb0f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4951",
    "kind": "arxiv",
    "version": 3
  }
}