Pith Number

pith:X7QQQQP5

pith:2011:X7QQQQP5HYTPVFO5PVAYWS5LG2

not attested not anchored not stored refs pending

Thermodynamic systems as extremal hypersurfaces

Alberto Sanchez, Alejandro Vazquez, Hernando Quevedo

arxiv:1101.3359 v1 · 2011-01-18 · 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{X7QQQQP5HYTPVFO5PVAYWS5LG2}

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	2026-05-18T04:24:54.089947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfe10841fd3e26fa95dd7d418b4bab36b025771e2375bd566eedb5ca38a83c93

Aliases

arxiv: 1101.3359 · arxiv_version: 1101.3359v1 · doi: 10.48550/arxiv.1101.3359 · pith_short_12: X7QQQQP5HYTP · pith_short_16: X7QQQQP5HYTPVFO5 · pith_short_8: X7QQQQP5

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/X7QQQQP5HYTPVFO5PVAYWS5LG2 \
  | 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: bfe10841fd3e26fa95dd7d418b4bab36b025771e2375bd566eedb5ca38a83c93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10a98742870fa266a2852605f6d55150a09a1573819cceeebc7733ff913f1d6c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-18T00:26:09Z",
    "title_canon_sha256": "6e629f020342748c3f121f16c470556ff7d75c9153f2840fa2d7165985f66cb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3359",
    "kind": "arxiv",
    "version": 1
  }
}