Pith Number

pith:VYFULVP4

pith:2012:VYFULVP46YQRU4WDYFEFMKCAE3

not attested not anchored not stored refs pending

Fourier inversion for finite inverse semigroups

Martin E. Malandro

arxiv:1212.6462 v2 · 2012-12-28 · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYFULVP46YQRU4WDYFEFMKCAE3}

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	2026-05-18T03:18:06.242588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae0b45d5fcf6211a72c3c14856284026e2ef76f8652e2ea2eeec26d7a3eab4a9

Aliases

arxiv: 1212.6462 · arxiv_version: 1212.6462v2 · doi: 10.48550/arxiv.1212.6462 · pith_short_12: VYFULVP46YQR · pith_short_16: VYFULVP46YQRU4WD · pith_short_8: VYFULVP4

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/VYFULVP46YQRU4WDYFEFMKCAE3 \
  | 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: ae0b45d5fcf6211a72c3c14856284026e2ef76f8652e2ea2eeec26d7a3eab4a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5d0f9f82582cb737d4da74a2105db09cea93656300b6489521662402adea075",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-12-28T03:54:14Z",
    "title_canon_sha256": "dbf151bade36decae4169fb64a3d541f7ff3e0fb506812cd9c6afd479bfdd9f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6462",
    "kind": "arxiv",
    "version": 2
  }
}