Pith Number

pith:ZTIXJWAZ

pith:2008:ZTIXJWAZEEHHIUXC3JA6UKQDXI

not attested not anchored not stored refs pending

An axiomatic characterization of a two-parameter extended relative entropy

Shigeru Furuichi

arxiv:0810.5399 v3 · 2008-10-30 · cond-mat.stat-mech · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZTIXJWAZEEHHIUXC3JA6UKQDXI}

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	2026-05-18T04:32:34.223534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd174d819210e7452e2da41ea2a03ba04ee66e9ec15e190bf57f3ce38a513de

Aliases

arxiv: 0810.5399 · arxiv_version: 0810.5399v3 · doi: 10.48550/arxiv.0810.5399 · pith_short_12: ZTIXJWAZEEHH · pith_short_16: ZTIXJWAZEEHHIUXC · pith_short_8: ZTIXJWAZ

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/ZTIXJWAZEEHHIUXC3JA6UKQDXI \
  | 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: ccd174d819210e7452e2da41ea2a03ba04ee66e9ec15e190bf57f3ce38a513de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eadf7ddd66e57bb602b959fb07bb85b54c2792d72c55d04d7e7167c7f2f825c5",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2008-10-30T01:39:44Z",
    "title_canon_sha256": "a7eb5df1074c08c3277414e738ecccb7a2e10bd8776e53acb7ad9e9dcc9e7c5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.5399",
    "kind": "arxiv",
    "version": 3
  }
}