Pith Number

pith:3FYWPMPF

pith:1996:3FYWPMPFQGCQIIOAGKEMI2JCPN

not attested not anchored not stored refs pending

Fourier-Stieltjes algebras of locally compact groupoids

Arlan Ramsay, Martin E. Walter

arxiv:math/9602219 v1 · 1996-02-02 · 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{3FYWPMPFQGCQIIOAGKEMI2JCPN}

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	2026-05-18T01:05:47.747954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d97167b1e581850421c03288c469227b6ec4a6d37aca00538fea193cb64c07e6

Aliases

arxiv: math/9602219 · arxiv_version: math/9602219v1 · doi: 10.48550/arxiv.math/9602219 · pith_short_12: 3FYWPMPFQGCQ · pith_short_16: 3FYWPMPFQGCQIIOA · pith_short_8: 3FYWPMPF

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/3FYWPMPFQGCQIIOAGKEMI2JCPN \
  | 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: d97167b1e581850421c03288c469227b6ec4a6d37aca00538fea193cb64c07e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f453ccefd46e8887097caa06f8c5540e53413d09d2ce20929d09aac0d359e109",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "1996-02-02T00:00:00Z",
    "title_canon_sha256": "35bad6e9f1558c94caaba6f25355bbabeca27eefb9556b02db076a6073ecffe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9602219",
    "kind": "arxiv",
    "version": 1
  }
}