Pith Number

pith:GHFFV3PI

pith:2002:GHFFV3PIC6DWKRKDPXGJLFE5EN

not attested not anchored not stored refs pending

Non-extensive entropy from incomplete knowledge of Shannon entropy?

F. Sattin

arxiv:cond-mat/0211157 v4 · 2002-11-08 · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHFFV3PIC6DWKRKDPXGJLFE5EN}

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	2026-05-18T01:40:02.520854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ca5aede817876545437dcc95949d2353fb6d0c216b275416c2c8cc3772f75d

Aliases

arxiv: cond-mat/0211157 · arxiv_version: cond-mat/0211157v4 · doi: 10.48550/arxiv.cond-mat/0211157 · pith_short_12: GHFFV3PIC6DW · pith_short_16: GHFFV3PIC6DWKRKD · pith_short_8: GHFFV3PI

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/GHFFV3PIC6DWKRKDPXGJLFE5EN \
  | 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: 31ca5aede817876545437dcc95949d2353fb6d0c216b275416c2c8cc3772f75d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9963f78520f080e9b30cf0f5f97744d1de1185b13b6237a8b697261f9a45b9b8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2002-11-08T08:53:58Z",
    "title_canon_sha256": "5a531980aa9668c47decff0e326860f5f580fae10bb5ae17336b94fc441e84cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0211157",
    "kind": "arxiv",
    "version": 4
  }
}