Pith Number

pith:S5UKCOII

pith:2013:S5UKCOIIIUWFTCYKDE7X2ZNJRB

not attested not anchored not stored refs pending

The word problem for free adequate semigroups

Alexandr Kazda, Mark Kambites

arxiv:1311.7523 v1 · 2013-11-29 · math.RA · cs.CC · 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{S5UKCOIIIUWFTCYKDE7X2ZNJRB}

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	2026-05-18T03:05:55.968262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9768a13908452c598b0a193f7d65a9887175c7a3b7231480cd59d2e666e3edb5

Aliases

arxiv: 1311.7523 · arxiv_version: 1311.7523v1 · doi: 10.48550/arxiv.1311.7523 · pith_short_12: S5UKCOIIIUWF · pith_short_16: S5UKCOIIIUWFTCYK · pith_short_8: S5UKCOII

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/S5UKCOIIIUWFTCYKDE7X2ZNJRB \
  | 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: 9768a13908452c598b0a193f7d65a9887175c7a3b7231480cd59d2e666e3edb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f82daa53c086fa78a131f423abbff85dd768d378a1da7a242e58c7cf04d5f90",
    "cross_cats_sorted": [
      "cs.CC",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-11-29T11:23:06Z",
    "title_canon_sha256": "3cee488c25339d0f7118795b6833957ee2e8377ebac5b0b9be39bd478798f1ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7523",
    "kind": "arxiv",
    "version": 1
  }
}