Pith Number

pith:IXAXYJJU

pith:2016:IXAXYJJUTS7TISSTKERIE7UKWV

not attested not anchored not stored refs pending

Liouville's Theorem from the Principle of Maximum Caliber in Phase Space

Diego Gonz\'alez, Sergio Davis

arxiv:1602.03060 v1 · 2016-02-08 · physics.class-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{IXAXYJJUTS7TISSTKERIE7UKWV}

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	2026-05-18T01:10:18.099065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c17c25349cbf344a535122827e8ab549cded4767ea13055ff816ef0c90006c

Aliases

arxiv: 1602.03060 · arxiv_version: 1602.03060v1 · doi: 10.48550/arxiv.1602.03060 · pith_short_12: IXAXYJJUTS7T · pith_short_16: IXAXYJJUTS7TISST · pith_short_8: IXAXYJJU

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/IXAXYJJUTS7TISSTKERIE7UKWV \
  | 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: 45c17c25349cbf344a535122827e8ab549cded4767ea13055ff816ef0c90006c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76cdc6cb62902420f6ab0b735628a8b097534bef8d0bb4fb3a8188a1cb962748",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2016-02-08T12:13:18Z",
    "title_canon_sha256": "0815747d4971d8d51cf6b868c4578386f55dbe90285c95aa0336042a8fb2bc94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03060",
    "kind": "arxiv",
    "version": 1
  }
}