Pith Number

pith:HFJ5OVNW

pith:2004:HFJ5OVNWZOUQLWD4HGGFVXYUSK

not attested not anchored not stored refs pending

Covariant Poisson Brackets in Geometric Field Theory

Michael Forger, Sandro V. Romero

arxiv:math-ph/0408008 v1 · 2004-08-04 · 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{HFJ5OVNWZOUQLWD4HGGFVXYUSK}

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	2026-05-18T04:01:38.424545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3953d755b6cba905d87c398c5adf1492b54ac2c78afa6d89d62fe51c9d2464ce

Aliases

arxiv: math-ph/0408008 · arxiv_version: math-ph/0408008v1 · doi: 10.48550/arxiv.math-ph/0408008 · pith_short_12: HFJ5OVNWZOUQ · pith_short_16: HFJ5OVNWZOUQLWD4 · pith_short_8: HFJ5OVNW

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/HFJ5OVNWZOUQLWD4HGGFVXYUSK \
  | 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: 3953d755b6cba905d87c398c5adf1492b54ac2c78afa6d89d62fe51c9d2464ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3abc5b4766f3fe5ec5ff658ffb26ddf5ed2311df70b730af749dc63fa0db0454",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-08-04T00:23:03Z",
    "title_canon_sha256": "4ee0ffb3c3b261682b1caf3f0759aa153e9130b7e3ae26e1552b67f4cb4bd6ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0408008",
    "kind": "arxiv",
    "version": 1
  }
}