Pith Number

pith:MB7T66OE

pith:2007:MB7T66OEXSQJ7NLDDQGTJ7GLL3

not attested not anchored not stored refs pending

Modular classes of regular twisted Poisson structures on Lie algebroids

Milen Yakimov, Yvette Kosmann-Schwarzbach

arxiv:math/0701209 v3 · 2007-01-07 · math.SG · 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{MB7T66OEXSQJ7NLDDQGTJ7GLL3}

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	2026-05-18T03:39:14.950609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607f3f79c4bca09fb5631c0d34fccb5eee780f8a063e9a6131ee5fc1e55b4379

Aliases

arxiv: math/0701209 · arxiv_version: math/0701209v3 · doi: 10.48550/arxiv.math/0701209 · pith_short_12: MB7T66OEXSQJ · pith_short_16: MB7T66OEXSQJ7NLD · pith_short_8: MB7T66OE

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/MB7T66OEXSQJ7NLDDQGTJ7GLL3 \
  | 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: 607f3f79c4bca09fb5631c0d34fccb5eee780f8a063e9a6131ee5fc1e55b4379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "727658aa6d471905d46d8477d6ceb190ed0077f3699bcd226eb4d5e7982e5593",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2007-01-07T17:24:32Z",
    "title_canon_sha256": "304458143c0c7b61074f32d64bdec38d44532e4c7efbd2f7d769c5fb31b2c202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701209",
    "kind": "arxiv",
    "version": 3
  }
}