Pith Number

pith:BJAC2VKR

pith:2005:BJAC2VKRYEXSW64W5SAPCJUIWR

not attested not anchored not stored refs pending

The Luminosity Function and Formation Rate History of GRBs

2), A.V. Tutukov (3); ((1) Osserv. Astron. di Brera, C. Firmani (1, G. Ghisellini (1), Italy; (2) Instituto de Astronomia, Mexico; (3) Institute of Astronomy Moscow, Russia), U.N.A.M., V. Avila-Reese (2)

arxiv:astro-ph/0504417 v1 · 2005-04-19 · astro-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{BJAC2VKRYEXSW64W5SAPCJUIWR}

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	2026-05-18T04:36:30.105725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a402d5551c12f2b7b96ec80f12688b4494daf19384a133492a8c0e796cbd097

Aliases

arxiv: astro-ph/0504417 · arxiv_version: astro-ph/0504417v1 · doi: 10.48550/arxiv.astro-ph/0504417 · pith_short_12: BJAC2VKRYEXS · pith_short_16: BJAC2VKRYEXSW64W · pith_short_8: BJAC2VKR

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/BJAC2VKRYEXSW64W5SAPCJUIWR \
  | 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: 0a402d5551c12f2b7b96ec80f12688b4494daf19384a133492a8c0e796cbd097

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39fc57c2d26d996c57a4358afc9f47759824410c9cbe9f0ced36e1e77fdc1cdf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-04-19T15:28:58Z",
    "title_canon_sha256": "de208c33e924a1d08c45604a6ab19c19d14ce31d7a0581f39dbc7db4cce047be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0504417",
    "kind": "arxiv",
    "version": 1
  }
}