Pith Number

pith:4V2KRRQG

pith:2001:4V2KRRQGNGDDKV6QFJC5C3STVE

not attested not anchored not stored refs pending

Groupoid C*-algebras and index theory on manifolds with singularities

Jonathan Rosenberg

arxiv:math/0105085 v1 · 2001-05-10 · math.DG · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4V2KRRQGNGDDKV6QFJC5C3STVE}

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	2026-05-18T04:27:03.925332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e574a8c60669863557d02a45d16e53a90715a221bc3b5b779dcef2f845665071

Aliases

arxiv: math/0105085 · arxiv_version: math/0105085v1 · doi: 10.48550/arxiv.math/0105085 · pith_short_12: 4V2KRRQGNGDD · pith_short_16: 4V2KRRQGNGDDKV6Q · pith_short_8: 4V2KRRQG

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/4V2KRRQGNGDDKV6QFJC5C3STVE \
  | 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: e574a8c60669863557d02a45d16e53a90715a221bc3b5b779dcef2f845665071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b82169a25524266af69b40118fcbc1fd9fdc79b365f3648544b215fc6b6bd217",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2001-05-10T19:40:32Z",
    "title_canon_sha256": "860e8d69e6004f7193cbad212d2e10f63fb125812003a4911ba6ba87789ae401"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0105085",
    "kind": "arxiv",
    "version": 1
  }
}