Pith Number

pith:KE4IY3ZL

pith:2016:KE4IY3ZLHLPXSDVRBIKP7QTML4

not attested not anchored not stored refs pending

On double Poisson structures on commutative algebras

Geoffrey Powell

arxiv:1603.07553 v2 · 2016-03-24 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KE4IY3ZLHLPXSDVRBIKP7QTML4}

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

Coupled double Poisson brackets

Receipt and verification

First computed	2026-05-18T01:08:17.906926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51388c6f2b3adf790eb10a14ffc26c5f2b1026d45d8045c3f7ba2f58b0ee1bb9

Aliases

arxiv: 1603.07553 · arxiv_version: 1603.07553v2 · doi: 10.48550/arxiv.1603.07553 · pith_short_12: KE4IY3ZLHLPX · pith_short_16: KE4IY3ZLHLPXSDVR · pith_short_8: KE4IY3ZL

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/KE4IY3ZLHLPXSDVRBIKP7QTML4 \
  | 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: 51388c6f2b3adf790eb10a14ffc26c5f2b1026d45d8045c3f7ba2f58b0ee1bb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73d33d5c48f3c8b8a2beb953d6bbacab9006bb304094c879b2f4ff5dcbcb14ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-03-24T12:56:13Z",
    "title_canon_sha256": "d065cf7686e3e6a7e8605c630a22f758ec2ee8a995b8221ea84491bb552366ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07553",
    "kind": "arxiv",
    "version": 2
  }
}