Pith Number

pith:BPZ4QMQQ

pith:2019:BPZ4QMQQM4YCDRAKSJFJT22E6P

not attested not anchored not stored refs pending

Dirac structures and port-Lagrangian systems in thermodynamics

Fran\c{c}ois Gay-Balmaz, Hiroaki Yoshimura

arxiv:1907.00373 v1 · 2019-06-30 · 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{BPZ4QMQQM4YCDRAKSJFJT22E6P}

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	2026-05-17T23:41:51.961189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf3c83210673021c40a924a99eb44f3e5a4caadab1f07ed1868085ace052db0

Aliases

arxiv: 1907.00373 · arxiv_version: 1907.00373v1 · doi: 10.48550/arxiv.1907.00373 · pith_short_12: BPZ4QMQQM4YC · pith_short_16: BPZ4QMQQM4YCDRAK · pith_short_8: BPZ4QMQQ

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/BPZ4QMQQM4YCDRAKSJFJT22E6P \
  | 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: 0bf3c83210673021c40a924a99eb44f3e5a4caadab1f07ed1868085ace052db0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99eb3eb9287ec2334032b63282e61f84d00d097f086862f56da78168cefb254b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-06-30T12:31:41Z",
    "title_canon_sha256": "035f1fd3468ad44dd2c89aaf23b6ae6daf7ebb1ad58b4f9f5812cfb05c3472eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00373",
    "kind": "arxiv",
    "version": 1
  }
}