Pith Number

pith:QE6WDWTZ

pith:2011:QE6WDWTZ7BZVXOJHWGJ6AKIZXE

not attested not anchored not stored refs pending

The Local Product Theorem for bihamiltonian structures

Francisco-Javier Turiel

arxiv:1107.2243 v1 · 2011-07-12 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QE6WDWTZ7BZVXOJHWGJ6AKIZXE}

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	2026-05-18T04:18:24.991732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

813d61da79f8735bb927b193e02919b90eef4d51e1ebadf448824d3738f61dcb

Aliases

arxiv: 1107.2243 · arxiv_version: 1107.2243v1 · doi: 10.48550/arxiv.1107.2243 · pith_short_12: QE6WDWTZ7BZV · pith_short_16: QE6WDWTZ7BZVXOJH · pith_short_8: QE6WDWTZ

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/QE6WDWTZ7BZVXOJHWGJ6AKIZXE \
  | 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: 813d61da79f8735bb927b193e02919b90eef4d51e1ebadf448824d3738f61dcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2f304425c43c42d7937370f9832622412aebf4e9c8f633d86bd917db3e53b6f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-07-12T11:02:01Z",
    "title_canon_sha256": "001482fb74edec8896e79953086ab03e8f43c0d0d3006b81a2ef5b21618f4863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2243",
    "kind": "arxiv",
    "version": 1
  }
}