Pith Number

pith:NZ3I7SGO

pith:2000:NZ3I7SGO4H5V5S3OWZRKBZJTNJ

not attested not anchored not stored refs pending

Statistics of clustering of ultra-high energy cosmic rays and the number of their sources

I.I. Tkachev, P.G. Tinyakov, S.L. Dubovsky

arxiv:astro-ph/0001317 v2 · 2000-01-18 · astro-ph · 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{NZ3I7SGO4H5V5S3OWZRKBZJTNJ}

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	2026-05-18T04:34:17.679186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e768fc8cee1fb5ecb6eb662a0e5336a47ee5989d678203346f5a8a1d825d833

Aliases

arxiv: astro-ph/0001317 · arxiv_version: astro-ph/0001317v2 · doi: 10.48550/arxiv.astro-ph/0001317 · pith_short_12: NZ3I7SGO4H5V · pith_short_16: NZ3I7SGO4H5V5S3O · pith_short_8: NZ3I7SGO

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/NZ3I7SGO4H5V5S3OWZRKBZJTNJ \
  | 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: 6e768fc8cee1fb5ecb6eb662a0e5336a47ee5989d678203346f5a8a1d825d833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5e106085ed0960c4cccf31ab48a822fe0bf89773cedbed3361bc12157882808",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-01-18T21:13:19Z",
    "title_canon_sha256": "f9abc9f1086bc653bf679bcfe46884b4db63df9c0d442abaae4874c45a3f9d65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0001317",
    "kind": "arxiv",
    "version": 2
  }
}