Pith Number

pith:QHR4AEPR

pith:2016:QHR4AEPRQO2XUIFNEJHYLOOWLM

not attested not anchored not stored refs pending

From tools in symplectic and Poisson geometry to Souriau's theories of statistical mechanics and thermodynamics

Charles-Michel Marle

arxiv:1608.00103 v2 · 2016-07-30 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHR4AEPRQO2XUIFNEJHYLOOWLM}

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	2026-05-18T00:50:29.336835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81e3c011f183b57a20ad224f85b9d65b1c235701268d3203f92c274f59943a0a

Aliases

arxiv: 1608.00103 · arxiv_version: 1608.00103v2 · doi: 10.48550/arxiv.1608.00103 · pith_short_12: QHR4AEPRQO2X · pith_short_16: QHR4AEPRQO2XUIFN · pith_short_8: QHR4AEPR

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/QHR4AEPRQO2XUIFNEJHYLOOWLM \
  | 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: 81e3c011f183b57a20ad224f85b9d65b1c235701268d3203f92c274f59943a0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce75f845ee4892ba23aefaa728d8c00f00f542296fe161e75c48f89265bfb198",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-30T11:37:22Z",
    "title_canon_sha256": "64b9a318304069d754207bb3eaf77b259be8da25d8188ed4fa7b4b933792e3a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00103",
    "kind": "arxiv",
    "version": 2
  }
}