Pith Number

pith:CNJXLEQG

pith:2014:CNJXLEQGGMN3QRJ4WFR42XHPOW

not attested not anchored not stored refs pending

An extension of Tamari lattices

Louis-Fran\c{c}ois Pr\'eville-Ratelle, Xavier Viennot

arxiv:1406.3787 v1 · 2014-06-15 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CNJXLEQGGMN3QRJ4WFR42XHPOW}

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	2026-05-18T02:49:39.725269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1353759206331bb8453cb163cd5cef75bce8ad1dc9a32e782f24451ab6eb72da

Aliases

arxiv: 1406.3787 · arxiv_version: 1406.3787v1 · doi: 10.48550/arxiv.1406.3787 · pith_short_12: CNJXLEQGGMN3 · pith_short_16: CNJXLEQGGMN3QRJ4 · pith_short_8: CNJXLEQG

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/CNJXLEQGGMN3QRJ4WFR42XHPOW \
  | 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: 1353759206331bb8453cb163cd5cef75bce8ad1dc9a32e782f24451ab6eb72da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e921053ba5357188dac67a1ae8be86d2571563b15eb3efb18885a67d25eee82c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-15T01:21:25Z",
    "title_canon_sha256": "3dc8b1a68df5f057e66a4f929c924d7a7fc8057e0b98308217749af0c08b2a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3787",
    "kind": "arxiv",
    "version": 1
  }
}