Pith Number

pith:RIZWIU4N

pith:2016:RIZWIU4NWQST67EFOO4VOK5ZG5

not attested not anchored not stored refs pending

Fiat categorification of the symmetric inverse semigroup IS_n and the semigroup F^*_n

Paul Martin, Volodymyr Mazorchuk

arxiv:1605.03880 v2 · 2016-05-12 · math.RA · math.CT · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RIZWIU4NWQST67EFOO4VOK5ZG5}

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	2026-05-18T00:47:54.816862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a3364538db4253f7c8573b9572bb93750e9fb507fa1fe3f08569a00f3893112

Aliases

arxiv: 1605.03880 · arxiv_version: 1605.03880v2 · doi: 10.48550/arxiv.1605.03880 · pith_short_12: RIZWIU4NWQST · pith_short_16: RIZWIU4NWQST67EF · pith_short_8: RIZWIU4N

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/RIZWIU4NWQST67EFOO4VOK5ZG5 \
  | 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: 8a3364538db4253f7c8573b9572bb93750e9fb507fa1fe3f08569a00f3893112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68aa55518c6f64c52a6ad16a9602a1c5a832f2d1cca4154cb10159b4e3a98bd4",
    "cross_cats_sorted": [
      "math.CT",
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-05-12T16:22:57Z",
    "title_canon_sha256": "2127c99beb888ea9227bb259590693af89dd908761151e75f14720ed4cf4b22e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03880",
    "kind": "arxiv",
    "version": 2
  }
}