Pith Number

pith:WAHYHFZT

pith:2014:WAHYHFZTYN6PJ3NLPC7UXCQZC2

not attested not anchored not stored refs pending

Liouville's Theorem and the canonical measure for nonconservative systems from contact geometry

Alessandro Bravetti, Diego Tapias

arxiv:1412.0026 v2 · 2014-11-28 · math-ph · cond-mat.stat-mech · 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{WAHYHFZTYN6PJ3NLPC7UXCQZC2}

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	2026-05-18T01:59:58.116304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b00f839733c37cf4edab78bf4b8a19168f974c44d9c3404cba0717a34411a2a0

Aliases

arxiv: 1412.0026 · arxiv_version: 1412.0026v2 · doi: 10.48550/arxiv.1412.0026 · pith_short_12: WAHYHFZTYN6P · pith_short_16: WAHYHFZTYN6PJ3NL · pith_short_8: WAHYHFZT

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/WAHYHFZTYN6PJ3NLPC7UXCQZC2 \
  | 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: b00f839733c37cf4edab78bf4b8a19168f974c44d9c3404cba0717a34411a2a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c0b01182f9000f28b2b5cb3af346a2df90a13b8dca5cd80b048d2f9851ae0fb",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-28T21:15:32Z",
    "title_canon_sha256": "518cc3fd2c526db7d5e3b5dea7f6d752ae322fbf7f80642fad55db4e0da0c0ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0026",
    "kind": "arxiv",
    "version": 2
  }
}