Pith Number

pith:V5JRMVCV

pith:2013:V5JRMVCVAPMULLKGFECSKTBIWY

not attested not anchored not stored refs pending

A countable family of finitely presented infinite congruence-free monoids

Abdullahi Umar, Alan J. Cain, Victor Maltcev

arxiv:1304.4687 v1 · 2013-04-17 · 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{V5JRMVCVAPMULLKGFECSKTBIWY}

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	2026-05-18T03:27:43.982422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af5316545503d945ad462905254c28b62ebc3e619fe7b84424ce275145752a37

Aliases

arxiv: 1304.4687 · arxiv_version: 1304.4687v1 · doi: 10.48550/arxiv.1304.4687 · pith_short_12: V5JRMVCVAPMU · pith_short_16: V5JRMVCVAPMULLKG · pith_short_8: V5JRMVCV

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/V5JRMVCVAPMULLKGFECSKTBIWY \
  | 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: af5316545503d945ad462905254c28b62ebc3e619fe7b84424ce275145752a37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7320bc5f9baf65c9eff83765122f32a527638cce9081a5ad152f30ed25750ba1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-17T04:45:28Z",
    "title_canon_sha256": "a20b3245bdc5689e5b391c122842b7c12802dff90388f89d8e3cbc2675aa32c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4687",
    "kind": "arxiv",
    "version": 1
  }
}