Pith Number

pith:7CLQL5T4

pith:2009:7CLQL5T4TB5K3NUTDCWR64RVGR

not attested not anchored not stored refs pending

Distortion of the Poisson Bracket by the Noncommutative Planck Constants

Artur E. Ruuge, Freddy Van Oystaeyen

arxiv:0910.2949 v2 · 2009-10-15 · math-ph · math.MP · math.QA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CLQL5T4TB5K3NUTDCWR64RVGR}

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	2026-05-18T04:19:53.571041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f89705f67c987aadb69318ad1f72353443426b615f013713167689da079c01bd

Aliases

arxiv: 0910.2949 · arxiv_version: 0910.2949v2 · doi: 10.48550/arxiv.0910.2949 · pith_short_12: 7CLQL5T4TB5K · pith_short_16: 7CLQL5T4TB5K3NUT · pith_short_8: 7CLQL5T4

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/7CLQL5T4TB5K3NUTDCWR64RVGR \
  | 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: f89705f67c987aadb69318ad1f72353443426b615f013713167689da079c01bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4af6dfabdf61a3261338f8142e976567447cec62ecaedab98d42f06df639ad20",
    "cross_cats_sorted": [
      "math.MP",
      "math.QA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-10-15T17:43:07Z",
    "title_canon_sha256": "ac242debc8a77599835cd5535dba8b71e587150ebb72ca083114b564aa310584"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2949",
    "kind": "arxiv",
    "version": 2
  }
}