Pith Number

pith:C6NTX6BV

pith:2015:C6NTX6BVF4PG6AB4RZKWUBOJEZ

not attested not anchored not stored refs pending

Takahasi semigroups

Gracinda M. S. Gomes, M\'ario J. J. Branco, Pedro V. Silva

arxiv:1504.00219 v1 · 2015-04-01 · 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{C6NTX6BVF4PG6AB4RZKWUBOJEZ}

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	2026-05-18T02:19:44.261530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

179b3bf8352f1e6f003c8e556a05c926705b2f0f347fc078087563725e68e5f3

Aliases

arxiv: 1504.00219 · arxiv_version: 1504.00219v1 · doi: 10.48550/arxiv.1504.00219 · pith_short_12: C6NTX6BVF4PG · pith_short_16: C6NTX6BVF4PG6AB4 · pith_short_8: C6NTX6BV

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/C6NTX6BVF4PG6AB4RZKWUBOJEZ \
  | 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: 179b3bf8352f1e6f003c8e556a05c926705b2f0f347fc078087563725e68e5f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "164cffe74ff0308f6e6a005b0c4d37044e5cca1065cca02010dbcd7290cbb266",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-04-01T13:16:05Z",
    "title_canon_sha256": "0d8e20144aa52243dceb5f16c4e7ce4aa518dacdd9e19c42500f1bdd26cb27c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00219",
    "kind": "arxiv",
    "version": 1
  }
}