Pith Number

pith:NA73O54N

pith:2011:NA73O54NC4VTSQY7WZ3C3X5K2I

not attested not anchored not stored refs pending

Tamari Lattices and the symmetric Thompson monoid

Patrick Dehornoy (LMNO)

arxiv:1109.5296 v1 · 2011-09-24 · math.CO · 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{NA73O54NC4VTSQY7WZ3C3X5K2I}

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	2026-05-18T04:12:20.102616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

683fb7778d172b39431fb6762ddfaad22c52be12e579470c780057754eb414de

Aliases

arxiv: 1109.5296 · arxiv_version: 1109.5296v1 · doi: 10.48550/arxiv.1109.5296 · pith_short_12: NA73O54NC4VT · pith_short_16: NA73O54NC4VTSQY7 · pith_short_8: NA73O54N

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/NA73O54NC4VTSQY7WZ3C3X5K2I \
  | 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: 683fb7778d172b39431fb6762ddfaad22c52be12e579470c780057754eb414de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11c129158674a913c8bff748e2ba8e25647c9409c96e4aae23b850704542a9c5",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-24T19:23:08Z",
    "title_canon_sha256": "4ad238f41710047b9edcbbe2ab398d118be18b12c939317aa9ba5aa51b7011a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5296",
    "kind": "arxiv",
    "version": 1
  }
}