Pith Number

pith:JTYQJO3B

pith:2015:JTYQJO3BMV3B6P5UQN7AS5FQC5

not attested not anchored not stored refs pending

Quadratic normalisation in monoids

Patrick Dehornoy, Yves Guiraud

arxiv:1504.02717 v2 · 2015-04-10 · 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{JTYQJO3BMV3B6P5UQN7AS5FQC5}

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	2026-05-18T00:55:17.699685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cf104bb6165761f3fb4837e0974b01748a24c99f0df5a12a1242326ddd8e758

Aliases

arxiv: 1504.02717 · arxiv_version: 1504.02717v2 · doi: 10.48550/arxiv.1504.02717 · pith_short_12: JTYQJO3BMV3B · pith_short_16: JTYQJO3BMV3B6P5U · pith_short_8: JTYQJO3B

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/JTYQJO3BMV3B6P5UQN7AS5FQC5 \
  | 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: 4cf104bb6165761f3fb4837e0974b01748a24c99f0df5a12a1242326ddd8e758

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ac29a1d323b6cdc8d214fe5cc8040a12bfd632f737963ffbf87acf4d2e1b2b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-04-10T15:40:06Z",
    "title_canon_sha256": "00ec2def0a3d8083a8aa36314f647e16045ee2df871c9a0c6834fc64f1f9db32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02717",
    "kind": "arxiv",
    "version": 2
  }
}