Pith Number

pith:LCFG4SIR

pith:2016:LCFG4SIRZJ4WK7OQA5EYV67ULY

not attested not anchored not stored refs pending

Multifraction reduction I: The 3-Ore case and Artin-Tits groups of type FC

Patrick Dehornoy (LMNO)

arxiv:1606.08991 v3 · 2016-06-29 · 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{LCFG4SIRZJ4WK7OQA5EYV67ULY}

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	2026-05-18T00:51:57.816708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

588a6e4911ca79657dd007498afbf45e39aab09391a312885973b73073367f9b

Aliases

arxiv: 1606.08991 · arxiv_version: 1606.08991v3 · doi: 10.48550/arxiv.1606.08991 · pith_short_12: LCFG4SIRZJ4W · pith_short_16: LCFG4SIRZJ4WK7OQ · pith_short_8: LCFG4SIR

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/LCFG4SIRZJ4WK7OQA5EYV67ULY \
  | 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: 588a6e4911ca79657dd007498afbf45e39aab09391a312885973b73073367f9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21b338f11791734fc506a8edfbf7e3e8686aac71dfe2118719e36b2811f6c052",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-29T08:07:54Z",
    "title_canon_sha256": "90920b350e5ddd5cf3a9bded3fe9e608b5faa4e1db9d48dfae87f5168db1e0a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08991",
    "kind": "arxiv",
    "version": 3
  }
}