Pith Number

pith:26MIVSIJ

pith:1999:26MIVSIJXOOS25OBTSJWGLTD6I

not attested not anchored not stored refs pending

Classical limit of Lie groupoid C^*-algebras

Birant Ramazan

arxiv:math/9905177 v1 · 1999-05-27 · math.OA · 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{26MIVSIJXOOS25OBTSJWGLTD6I}

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	2026-05-18T01:38:22.512486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7988ac909bb9d2d75c19c93632e63f2151994f874b808596a11ab3a7eed75e7

Aliases

arxiv: math/9905177 · arxiv_version: math/9905177v1 · doi: 10.48550/arxiv.math/9905177 · pith_short_12: 26MIVSIJXOOS · pith_short_16: 26MIVSIJXOOS25OB · pith_short_8: 26MIVSIJ

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/26MIVSIJXOOS25OBTSJWGLTD6I \
  | 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: d7988ac909bb9d2d75c19c93632e63f2151994f874b808596a11ab3a7eed75e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70c2dd32859147879bf93d277a6078ecc3357adf0adbd8c8c7d04a04efe301af",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "1999-05-27T12:43:01Z",
    "title_canon_sha256": "614869781ae212c119e10ed5b9f3f8fa5707ec732aac46e428041945988a8d54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9905177",
    "kind": "arxiv",
    "version": 1
  }
}