Pith Number

pith:YEJZUCJ6

pith:2013:YEJZUCJ6SE3BRLSORUTOXDI7GO

not attested not anchored not stored refs pending

Relativistic $<\sigma v_\text{rel}>$ in the calculation of relics abundances: a closer look

M. Cannoni

arxiv:1311.4508 v2 · 2013-11-18 · astro-ph.CO · hep-ph · math-ph · math.MP · nucl-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{YEJZUCJ6SE3BRLSORUTOXDI7GO}

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	2026-05-18T02:50:50.380370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1139a093e913618ae4e8d26eb8d1f33ac03b7d5a6bc396009a4b30595ea3075

Aliases

arxiv: 1311.4508 · arxiv_version: 1311.4508v2 · doi: 10.48550/arxiv.1311.4508 · pith_short_12: YEJZUCJ6SE3B · pith_short_16: YEJZUCJ6SE3BRLSO · pith_short_8: YEJZUCJ6

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/YEJZUCJ6SE3BRLSORUTOXDI7GO \
  | 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: c1139a093e913618ae4e8d26eb8d1f33ac03b7d5a6bc396009a4b30595ea3075

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77c53cc6fe76473675ccb8d634fece185ad92e15ca8336cf2bdf453642b1d9bc",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-11-18T19:33:42Z",
    "title_canon_sha256": "0d5f2b487024d40de6a9a9e51e1b87b425e9881d8b2880fe940d4df01985f92b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4508",
    "kind": "arxiv",
    "version": 2
  }
}