Pith Number

pith:APTOPNEJ

pith:2006:APTOPNEJXQ2FFBP3KMWRNFEBOR

not attested not anchored not stored refs pending

CGC formalism with two sources

Yoshitaka Hatta

arxiv:hep-ph/0607126 v3 · 2006-07-11 · 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{APTOPNEJXQ2FFBP3KMWRNFEBOR}

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	2026-07-04T15:17:07.422390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03e6e7b489bc345285fb532d16948174455a3c33f059db6db3c9ad58f7db440a

Aliases

arxiv: hep-ph/0607126 · arxiv_version: hep-ph/0607126v3 · doi: 10.48550/arxiv.hep-ph/0607126 · pith_short_12: APTOPNEJXQ2F · pith_short_16: APTOPNEJXQ2FFBP3 · pith_short_8: APTOPNEJ

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/APTOPNEJXQ2FFBP3KMWRNFEBOR \
  | 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: 03e6e7b489bc345285fb532d16948174455a3c33f059db6db3c9ad58f7db440a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6bb3609d393e656796af75830d13c86e310a6854d25ec93943963e1a6fbecc2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-07-11T18:32:40Z",
    "title_canon_sha256": "703c2e2ab43ee9776212a5ef7794525eb953289bc308c889b533914054cf4e32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0607126",
    "kind": "arxiv",
    "version": 3
  }
}