Pith Number

pith:UNCPT5P4

pith:2016:UNCPT5P4RL2SQHTGXKMN6F5BSN

not attested not anchored not stored refs pending

Multifraction reduction II: Conjectures for Artin-Tits groups

Patrick Dehornoy (LMNO)

arxiv:1606.08995 v4 · 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{UNCPT5P4RL2SQHTGXKMN6F5BSN}

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	2026-05-18T00:51:48.350654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a344f9f5fc8af5281e66ba98df17a1935267ed97ad02e32780a5fb2ac438fbc0

Aliases

arxiv: 1606.08995 · arxiv_version: 1606.08995v4 · doi: 10.48550/arxiv.1606.08995 · pith_short_12: UNCPT5P4RL2S · pith_short_16: UNCPT5P4RL2SQHTG · pith_short_8: UNCPT5P4

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/UNCPT5P4RL2SQHTGXKMN6F5BSN \
  | 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: a344f9f5fc8af5281e66ba98df17a1935267ed97ad02e32780a5fb2ac438fbc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca48b570173731945a3d927d56183800382f07e870a3db85040a1d2ce31dacd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-29T08:22:07Z",
    "title_canon_sha256": "3acfb78ed798517dee200b96b3107255d04792313a2c164a2b29287629138bf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08995",
    "kind": "arxiv",
    "version": 4
  }
}