Pith Number

pith:GDZK23LS

pith:2010:GDZK23LSFQ7YIJPJS4FFX46OJR

not attested not anchored not stored refs pending

Multi-Dirac Structures and Hamilton-Pontryagin Principles for Lagrange-Dirac Field Theories

Hiroaki Yoshimura, Jerrold E. Marsden, Joris Vankerschaver

arxiv:1008.0252 v2 · 2010-08-02 · math-ph · math.DG · 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{GDZK23LSFQ7YIJPJS4FFX46OJR}

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	2026-05-18T04:38:59.071129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30f2ad6d722c3f8425e9970a5bf3ce4c4ea218b86eea7969eb3c82e432b8ac98

Aliases

arxiv: 1008.0252 · arxiv_version: 1008.0252v2 · doi: 10.48550/arxiv.1008.0252 · pith_short_12: GDZK23LSFQ7Y · pith_short_16: GDZK23LSFQ7YIJPJ · pith_short_8: GDZK23LS

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/GDZK23LSFQ7YIJPJS4FFX46OJR \
  | 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: 30f2ad6d722c3f8425e9970a5bf3ce4c4ea218b86eea7969eb3c82e432b8ac98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b19861f31261299b5c88084362b818ac58b8aa2ee22ea70f2bf469b7f4b1b4dd",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-02T09:09:36Z",
    "title_canon_sha256": "7a1358706b27e80cd3325f0b940d2057f5192b582171d55425ca29133169a0e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0252",
    "kind": "arxiv",
    "version": 2
  }
}