Pith Number

pith:SIL5KCE3

pith:2000:SIL5KCE3TJKUF4AG4M6BXGNDVI

not attested not anchored not stored refs pending

A Poisson Bracket on Multisymplectic Phase Space

Hartmann R\"omer, Michael Forger

arxiv:math-ph/0009037 v2 · 2000-09-28 · math-ph · astro-ph · hep-th · 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{SIL5KCE3TJKUF4AG4M6BXGNDVI}

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.

Cited by

1 paper in Pith

Geometric formulation for Palatini-Cartan gravity

Receipt and verification

First computed	2026-07-04T16:21:11.352174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9217d5089b9a5542f006e33c1b99a3aa2d287a4f35e2027cd9764610e2bfd66b

Aliases

arxiv: math-ph/0009037 · arxiv_version: math-ph/0009037v2 · doi: 10.48550/arxiv.math-ph/0009037 · pith_short_12: SIL5KCE3TJKU · pith_short_16: SIL5KCE3TJKUF4AG · pith_short_8: SIL5KCE3

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/SIL5KCE3TJKUF4AG4M6BXGNDVI \
  | 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: 9217d5089b9a5542f006e33c1b99a3aa2d287a4f35e2027cd9764610e2bfd66b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f70c9d3a2b549268f0e83a4d41468ac2597a46b8f5aa69b545bb103340416eb8",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-09-28T09:27:01Z",
    "title_canon_sha256": "c99b0f6474070368259d452b445d9c93d3acef0fcee549c4adef0715b76208ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0009037",
    "kind": "arxiv",
    "version": 2
  }
}