pith. sign in
Pith Number

pith:ULSCK3IF

pith:2003:ULSCK3IFPHABM36JZVPYXBXFUW
not attested not anchored not stored refs pending

Information theory in high energy physics (extensive and nonextensive approach)

F.S.Navarra, G.Wilk, O.V.Utyuzh, Z.Wlodarczyk

arxiv:hep-ph/0312136 v2 · 2003-12-10 · hep-ph · cond-mat.stat-mech · nucl-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ULSCK3IFPHABM36JZVPYXBXFUW}

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 2026-05-18T02:36:30.037505Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a2e4256d0579c0166fc9cd5f8b86e5a58370fc54b8c2b8a45b56fa3cdc8f9e2c

Aliases

arxiv: hep-ph/0312136 · arxiv_version: hep-ph/0312136v2 · doi: 10.48550/arxiv.hep-ph/0312136 · pith_short_12: ULSCK3IFPHAB · pith_short_16: ULSCK3IFPHABM36J · pith_short_8: ULSCK3IF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ULSCK3IFPHABM36JZVPYXBXFUW \
  | 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: a2e4256d0579c0166fc9cd5f8b86e5a58370fc54b8c2b8a45b56fa3cdc8f9e2c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ff8c114cba91e5e49ef18fc98e494b7f8504ba2ca7b9dc210b87c6d029cb0624",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-12-10T13:18:15Z",
    "title_canon_sha256": "05011044d2c4bf00249e3bf561e0808b7571d50916ce87ddb35c2ab68c9d9fa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0312136",
    "kind": "arxiv",
    "version": 2
  }
}