Pith Number

pith:YC37J3ZZ

pith:2011:YC37J3ZZZYRFMHTFDEAOQXSMUH

not attested not anchored not stored refs pending

On the closure of the extended bicyclic semigroup

Iryna Fihel, Oleg Gutik

arxiv:1201.0090 v1 · 2011-12-30 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YC37J3ZZZYRFMHTFDEAOQXSMUH}

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	2026-05-18T04:05:26.250012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0b7f4ef39ce22561e651900e85e4ca1ef96efa12854979eea808d97e57da248

Aliases

arxiv: 1201.0090 · arxiv_version: 1201.0090v1 · doi: 10.48550/arxiv.1201.0090 · pith_short_12: YC37J3ZZZYRF · pith_short_16: YC37J3ZZZYRFMHTF · pith_short_8: YC37J3ZZ

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/YC37J3ZZZYRFMHTFDEAOQXSMUH \
  | 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: c0b7f4ef39ce22561e651900e85e4ca1ef96efa12854979eea808d97e57da248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "232e4fccf2e568ee030f94b64c450f92f26a5a7c4804433ae21f1ff2b8efd804",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-30T09:36:02Z",
    "title_canon_sha256": "b14e1d2e7b4ec4f364724cb76d56dcaa65498356c7152f28c99bead671424456"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0090",
    "kind": "arxiv",
    "version": 1
  }
}