Pith Number

pith:3P2YV2C3

pith:2018:3P2YV2C3XZOYLPNKTZOAAR7REE

not attested not anchored not stored refs pending

A cancellativity criterion for presented monoids

Patrick Dehornoy (LMNO)

arxiv:1802.04607 v3 · 2018-02-13 · 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{3P2YV2C3XZOYLPNKTZOAAR7REE}

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	2026-05-18T00:05:45.861853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbf58ae85bbe5d85bdaa9e5c0047f121052e9f8e1506954ce7727f11078105f5

Aliases

arxiv: 1802.04607 · arxiv_version: 1802.04607v3 · doi: 10.48550/arxiv.1802.04607 · pith_short_12: 3P2YV2C3XZOY · pith_short_16: 3P2YV2C3XZOYLPNK · pith_short_8: 3P2YV2C3

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/3P2YV2C3XZOYLPNKTZOAAR7REE \
  | 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: dbf58ae85bbe5d85bdaa9e5c0047f121052e9f8e1506954ce7727f11078105f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0878458e9ccbd0ba8410d85be71ac2e56d4f30d51860fcc50f889552d5c4de0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-02-13T13:20:18Z",
    "title_canon_sha256": "3cbe8e5f8f072a02bb3bf3c2c4ec1a6cbc69801e5f993908199a47228c2118b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04607",
    "kind": "arxiv",
    "version": 3
  }
}