Pith Number

pith:TUCX45BU

pith:2013:TUCX45BUVTO5HXDM4VVLA2XJGM

not attested not anchored not stored refs pending

Finite semigroups embed in finitely presented congruence-free monoids

Victor Maltcev

arxiv:1301.5336 v1 · 2013-01-22 · 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{TUCX45BUVTO5HXDM4VVLA2XJGM}

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	2026-05-18T03:35:40.361483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d057e7434acddd3dc6ce56ab06ae93317d7f7f2df3166ecd16606a0ca0a5f27

Aliases

arxiv: 1301.5336 · arxiv_version: 1301.5336v1 · doi: 10.48550/arxiv.1301.5336 · pith_short_12: TUCX45BUVTO5 · pith_short_16: TUCX45BUVTO5HXDM · pith_short_8: TUCX45BU

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/TUCX45BUVTO5HXDM4VVLA2XJGM \
  | 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: 9d057e7434acddd3dc6ce56ab06ae93317d7f7f2df3166ecd16606a0ca0a5f27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d93d3d69052f2b773a828254f33b30837206cb6ba5ef7731270186c417a4a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-22T21:25:32Z",
    "title_canon_sha256": "b6e98ded24f503e1c760957222c317fb83ea2bc851847ee8b720c01f12a66120"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5336",
    "kind": "arxiv",
    "version": 1
  }
}