Pith Number

pith:F5UWLYZI

pith:2012:F5UWLYZIYZCORVJUDZYLVP2B64

not attested not anchored not stored refs pending

The Hamilton-Pontryagin Principle and Multi-Dirac Structures for Classical Field Theories

Hiroaki Yoshimura, Joris Vankerschaver, Melvin Leok

arxiv:1207.2814 v4 · 2012-07-12 · 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{F5UWLYZIYZCORVJUDZYLVP2B64}

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	2026-05-18T03:20:45.406450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f6965e328c644e8d5341e70babf41f72554a3a252979c3534a1426c22691cd5

Aliases

arxiv: 1207.2814 · arxiv_version: 1207.2814v4 · doi: 10.48550/arxiv.1207.2814 · pith_short_12: F5UWLYZIYZCO · pith_short_16: F5UWLYZIYZCORVJU · pith_short_8: F5UWLYZI

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/F5UWLYZIYZCORVJUDZYLVP2B64 \
  | 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: 2f6965e328c644e8d5341e70babf41f72554a3a252979c3534a1426c22691cd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6841fe728c58fd77e9f85b33caa780ab68aa5c4eb7518a60cf951267efef41d1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-12T00:25:06Z",
    "title_canon_sha256": "d74ae3b10bcda42775d7b8f0afe837e6d93cd0b8b90b5a9a1f6d00f95ef22fd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2814",
    "kind": "arxiv",
    "version": 4
  }
}