Pith Number

pith:UTOGX2CY

pith:2016:UTOGX2CYGNSGOXKZWFYYDTLZAE

not attested not anchored not stored refs pending

Finite presentability and isomorphism of Cayley graphs of monoids

J. Awang, M. Pfeiffer, N. Ruskuc

arxiv:1602.08502 v2 · 2016-02-26 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTOGX2CYGNSGOXKZWFYYDTLZAE}

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	2026-05-18T01:02:13.126027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4dc6be8583364675d59b17181cd7901237d3e8e585fafff970586d22b5dbbba

Aliases

arxiv: 1602.08502 · arxiv_version: 1602.08502v2 · doi: 10.48550/arxiv.1602.08502 · pith_short_12: UTOGX2CYGNSG · pith_short_16: UTOGX2CYGNSGOXKZ · pith_short_8: UTOGX2CY

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/UTOGX2CYGNSGOXKZWFYYDTLZAE \
  | 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: a4dc6be8583364675d59b17181cd7901237d3e8e585fafff970586d22b5dbbba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f2b7667ef5e0368a7d2d9e17a58f9df70d8e8ab61b8c7ab6c771ce0e868701d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-02-26T21:00:34Z",
    "title_canon_sha256": "9917f16ddbfd12a598626bcfc8eb521876a0a0cfbf2c136e2ee6e6bb77fc4b6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08502",
    "kind": "arxiv",
    "version": 2
  }
}