Pith Number

pith:LI3YV6F2

pith:2007:LI3YV6F2EKDFOHD5VWW7LWOBSA

not attested not anchored not stored refs pending

The geometry of thermodynamics

Alejandro Vazquez, Hernando Quevedo

arxiv:0712.0868 v1 · 2007-12-06 · math-ph · gr-qc · math.MP · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LI3YV6F2EKDFOHD5VWW7LWOBSA}

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	2026-05-18T04:24:52.015558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a378af8ba2286571c7dadadf5d9c190006c5330af9bbfbcce40b119f418925b

Aliases

arxiv: 0712.0868 · arxiv_version: 0712.0868v1 · doi: 10.48550/arxiv.0712.0868 · pith_short_12: LI3YV6F2EKDF · pith_short_16: LI3YV6F2EKDFOHD5 · pith_short_8: LI3YV6F2

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/LI3YV6F2EKDFOHD5VWW7LWOBSA \
  | 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: 5a378af8ba2286571c7dadadf5d9c190006c5330af9bbfbcce40b119f418925b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eff1a831a37b2811be39fae80e7c87c6b11f4ea15eaebf0f039d17f15b0670d",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP",
      "physics.chem-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-12-06T03:22:21Z",
    "title_canon_sha256": "8078428dbc7a37eaedf1b17d110df2ab2b8cd9f56071314e07f99ed8b6996a39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0868",
    "kind": "arxiv",
    "version": 1
  }
}