Pith Number

pith:7PFIIP4X

pith:2004:7PFIIP4XQGGBPZX7YKWOLJUYXU

not attested not anchored not stored refs pending

Collimated high-energy photons and others possible observational effects of the photon angular and spectral distribution in gamma-ray bursts sources

G.S. Bisnovatyi-Kogan, T. A. Fatkhullin, V.G. Kurt, V. S. Lebedev, V.V. Sokolov, Yu.N. Gnedin, Yu.V. Baryshev

arxiv:astro-ph/0410350 v4 · 2004-10-14 · 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{7PFIIP4XQGGBPZX7YKWOLJUYXU}

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	2026-07-04T14:49:53.784529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbca843f97818c17e6ffc2ace5a698bd15aaf70f30e1f6095e922bc63d14b754

Aliases

arxiv: astro-ph/0410350 · arxiv_version: astro-ph/0410350v4 · doi: 10.48550/arxiv.astro-ph/0410350 · pith_short_12: 7PFIIP4XQGGB · pith_short_16: 7PFIIP4XQGGBPZX7 · pith_short_8: 7PFIIP4X

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/7PFIIP4XQGGBPZX7YKWOLJUYXU \
  | 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: fbca843f97818c17e6ffc2ace5a698bd15aaf70f30e1f6095e922bc63d14b754

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f59986f552ff3b574d04cae6702b63021e8b187ac102bbdb5d4c98a239b6fd07",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-10-14T13:26:30Z",
    "title_canon_sha256": "c5dd2ee20c827efa9ad2e0c80660551ce0fa94fee33ed4f77181e4bc03d4cc0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0410350",
    "kind": "arxiv",
    "version": 4
  }
}