Pith Number

pith:GPV4LCZC

pith:1998:GPV4LCZCAXFAC7EXV7I5MUNY74

not attested not anchored not stored refs pending

Fracture functions: factorization and evolution

M. Grazzini

arxiv:hep-ph/9805350 v1 · 1998-05-18 · 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{GPV4LCZCAXFAC7EXV7I5MUNY74}

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	2026-07-04T14:30:32.313713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ebc58b2205ca017c97afd1d651b8ff21a94665f9afde5ddbf672faf3dce0e6

Aliases

arxiv: hep-ph/9805350 · arxiv_version: hep-ph/9805350v1 · doi: 10.48550/arxiv.hep-ph/9805350 · pith_short_12: GPV4LCZCAXFA · pith_short_16: GPV4LCZCAXFAC7EX · pith_short_8: GPV4LCZC

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/GPV4LCZCAXFAC7EXV7I5MUNY74 \
  | 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: 33ebc58b2205ca017c97afd1d651b8ff21a94665f9afde5ddbf672faf3dce0e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "119160e21d8fbde27a7b6419582d8087b24c6c372d1b6435e6e51b62524f3107",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-05-18T09:35:44Z",
    "title_canon_sha256": "61b6f72cb2b163086afffd83ffd0f718eb6c099db707fed4a62911ac6cd314fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9805350",
    "kind": "arxiv",
    "version": 1
  }
}