Pith Number

pith:JWPIS3UY

pith:1998:JWPIS3UYRME3T7NMG7DH4KH3WS

not attested not anchored not stored refs pending

Connes' Tangent Groupoid and Strict Quantization

Alejandro Rivero, Eduardo Follana, Jes\'us Clemente-Gallardo, Jos\'e F. Carinena, Jos\'e M. Gracia-Bond\'ia, Joseph C. Varilly

arxiv:math/9802102 v3 · 1998-02-20 · math.DG · hep-th · 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{JWPIS3UYRME3T7NMG7DH4KH3WS}

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	2026-05-18T01:09:15.194909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d9e896e988b09b9fdac37c67e28fbb4a43ba76e98005a9080e54a7b94e611fa

Aliases

arxiv: math/9802102 · arxiv_version: math/9802102v3 · doi: 10.48550/arxiv.math/9802102 · pith_short_12: JWPIS3UYRME3 · pith_short_16: JWPIS3UYRME3T7NM · pith_short_8: JWPIS3UY

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/JWPIS3UYRME3T7NMG7DH4KH3WS \
  | 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: 4d9e896e988b09b9fdac37c67e28fbb4a43ba76e98005a9080e54a7b94e611fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d652d34b3c4c331341ddc67fc4bcf1e17cdbb6c688d592e7b310b95acddde91",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1998-02-20T20:54:24Z",
    "title_canon_sha256": "3326b32d00bddf44dc241dd8cd2b3a44b93bf33eb748798176e6742a6b781249"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9802102",
    "kind": "arxiv",
    "version": 3
  }
}