Pith Number

pith:325KI5YO

pith:2013:325KI5YOJHDDFARA5THRFSLHOR

not attested not anchored not stored refs pending

Fugacity and Reheating of Primordial Neutrinos

Cheng-Tao Yang, Jeremiah Birrell, Johann Rafelski, Pisin Chen

arxiv:1303.2583 v4 · 2013-03-11 · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{325KI5YOJHDDFARA5THRFSLHOR}

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	2026-05-18T02:53:17.637891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

debaa4770e49c6328220eccf12c9677464750ccfdbda27d8b8d8615c91b52229

Aliases

arxiv: 1303.2583 · arxiv_version: 1303.2583v4 · doi: 10.48550/arxiv.1303.2583 · pith_short_12: 325KI5YOJHDD · pith_short_16: 325KI5YOJHDDFARA · pith_short_8: 325KI5YO

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/325KI5YOJHDDFARA5THRFSLHOR \
  | 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: debaa4770e49c6328220eccf12c9677464750ccfdbda27d8b8d8615c91b52229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72a8bb69f614e2632746a2b40c8e60c1bee7d64b0d8eef29e91c09bf105c07f1",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-03-11T16:54:38Z",
    "title_canon_sha256": "8129fc79420c62e23f5618103951ff265a4a84bfef83534bed04e704c8613dcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2583",
    "kind": "arxiv",
    "version": 4
  }
}