Pith Number

pith:4FZYTIYA

pith:2024:4FZYTIYA3INSCXVB4HXIPKHATH

not attested not anchored not stored refs pending

A geometric description of some thermodynamical systems

Jaime Bajo, Manuel de Le\'on

arxiv:2412.18478 v1 · 2024-12-24 · math-ph · math.DG · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FZYTIYA3INSCXVB4HXIPKHATH}

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	2026-07-05T09:53:56.372211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17389a300da1b215ea1e1ee87a8e099fa66f8fa19b959583792c17c303fdcd0

Aliases

arxiv: 2412.18478 · arxiv_version: 2412.18478v1 · doi: 10.48550/arxiv.2412.18478 · pith_short_12: 4FZYTIYA3INS · pith_short_16: 4FZYTIYA3INSCXVB · pith_short_8: 4FZYTIYA

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/4FZYTIYA3INSCXVB4HXIPKHATH \
  | 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: e17389a300da1b215ea1e1ee87a8e099fa66f8fa19b959583792c17c303fdcd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50cc25ecf4349aa9099879957cfa0811efe922ad2fdd005a52de63ce61db2f90",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-12-24T15:06:13Z",
    "title_canon_sha256": "85424dd354fa9e6c0e267132306b6b0d8f0a904cba86f7c7fb4ba4c03d731866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18478",
    "kind": "arxiv",
    "version": 1
  }
}