Pith Number

pith:UCJXFCBG

pith:2009:UCJXFCBG2HTR7KMRX3G7MBGZ3J

not attested not anchored not stored refs pending

The character map in deformation quantization

Alberto S. Cattaneo, Giovanni Felder, Thomas Willwacher

arxiv:0906.3122 v3 · 2009-06-17 · 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{UCJXFCBG2HTR7KMRX3G7MBGZ3J}

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	2026-05-18T03:02:18.473205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a093728826d1e71fa991becdf604d9da54cfbaa273651604cd924bec2219bcb5

Aliases

arxiv: 0906.3122 · arxiv_version: 0906.3122v3 · doi: 10.48550/arxiv.0906.3122 · pith_short_12: UCJXFCBG2HTR · pith_short_16: UCJXFCBG2HTR7KMR · pith_short_8: UCJXFCBG

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/UCJXFCBG2HTR7KMRX3G7MBGZ3J \
  | 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: a093728826d1e71fa991becdf604d9da54cfbaa273651604cd924bec2219bcb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deb3cafa7bf973675e8965659e6bf4f103a9b4e63c2a80db029d747415f239fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-06-17T09:46:20Z",
    "title_canon_sha256": "314135d6046342db49f4ce8e6023d32defaea12ea5adce7923adde0c52ba9524"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3122",
    "kind": "arxiv",
    "version": 3
  }
}