Pith Number

pith:VEXQNB7M

pith:1996:VEXQNB7MMKYHYYMETEWMI32EMC

not attested not anchored not stored refs pending

Lacunary sections for locally compact groupoids

Arlan Ramsay

arxiv:math/9602218 v1 · 1996-02-02 · math.FA · 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{VEXQNB7MMKYHYYMETEWMI32EMC}

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	2026-05-18T01:05:47.757850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a92f0687ec62b07c6184992cc46f4460a565cda2297c14289484fdb3f5407a9e

Aliases

arxiv: math/9602218 · arxiv_version: math/9602218v1 · doi: 10.48550/arxiv.math/9602218 · pith_short_12: VEXQNB7MMKYH · pith_short_16: VEXQNB7MMKYHYYME · pith_short_8: VEXQNB7M

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/VEXQNB7MMKYHYYMETEWMI32EMC \
  | 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: a92f0687ec62b07c6184992cc46f4460a565cda2297c14289484fdb3f5407a9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dccc6ef3cb9ae66a75c61ff48af5677e58488ab65b1785e07f181acb199c6287",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1996-02-02T00:00:00Z",
    "title_canon_sha256": "c4edf273c5872d19319db8ad2d39a40a3d850419bb3282e3068f7ed0d6cef002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9602218",
    "kind": "arxiv",
    "version": 1
  }
}