Pith Number

pith:6QNTX2MS

pith:2007:6QNTX2MSSG6C65JPJ2CB4PTC6H

not attested not anchored not stored refs pending

Multisymplectic and polysymplectic structures on fiber bundles

Leandro G. Gomes (Instituto de Matem\'atica e Estat\'istica, Michael Forger, Universidade de S\~ao Paulo)

arxiv:0708.1586 v2 · 2007-08-11 · math.DG · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6QNTX2MSSG6C65JPJ2CB4PTC6H}

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	2026-05-18T02:31:36.385250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f41b3be99291bc2f752f4e841e3e62f1e2a1136ad0333edb7de3d2666e77c9b2

Aliases

arxiv: 0708.1586 · arxiv_version: 0708.1586v2 · doi: 10.48550/arxiv.0708.1586 · pith_short_12: 6QNTX2MSSG6C · pith_short_16: 6QNTX2MSSG6C65JP · pith_short_8: 6QNTX2MS

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/6QNTX2MSSG6C65JPJ2CB4PTC6H \
  | 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: f41b3be99291bc2f752f4e841e3e62f1e2a1136ad0333edb7de3d2666e77c9b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5dc9f1759d04ff7840bd1f723964af1c91e04875e0292a07abce5ed026daf4f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-08-11T20:58:08Z",
    "title_canon_sha256": "f0135fd5bf86b9a3c4551703b8e4b3f9a5173435dd198b678efebfd5f5e428ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.1586",
    "kind": "arxiv",
    "version": 2
  }
}