Pith Number

pith:CXCFWCHX

pith:2002:CXCFWCHXQMHNMCSOGEQQ2JITJN

not attested not anchored not stored refs pending

Homogeneity as a bridge between Carath\'eodory and Gibbs

F.Belgiorno

arxiv:math-ph/0210011 v1 · 2002-10-07 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXCFWCHXQMHNMCSOGEQQ2JITJN}

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	2026-05-18T01:05:31.918130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15c45b08f7830ed60a4e31210d25134b57dee3dfa3705b8eb3682b2f35c71a68

Aliases

arxiv: math-ph/0210011 · arxiv_version: math-ph/0210011v1 · doi: 10.48550/arxiv.math-ph/0210011 · pith_short_12: CXCFWCHXQMHN · pith_short_16: CXCFWCHXQMHNMCSO · pith_short_8: CXCFWCHX

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/CXCFWCHXQMHNMCSOGEQQ2JITJN \
  | 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: 15c45b08f7830ed60a4e31210d25134b57dee3dfa3705b8eb3682b2f35c71a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5efc9497add0d2b126317c2690f313eb48f3da0a31032d4b2295aa03ee2544b2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-10-07T15:37:59Z",
    "title_canon_sha256": "c21b35d88d135677894396a239ea5f4a9952a5a2d9e58bcc8adc828163a30853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0210011",
    "kind": "arxiv",
    "version": 1
  }
}