Pith Number

pith:OTNU62XI

pith:2011:OTNU62XI4457CBLPCMMJUXFCYT

not attested not anchored not stored refs pending

The number of intervals in the m-Tamari lattices

Eric Fusy (LIX), Louis-Fran\c{c}ois Pr\'eville Ratelle, Mireille Bousquet-M\'elou (LaBRI)

arxiv:1106.1498 v2 · 2011-06-08 · 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{OTNU62XI4457CBLPCMMJUXFCYT}

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	2026-05-18T02:21:44.036342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74db4f6ae8e73bf1056f13189a5ca2c4e5a7cd500e3d2e54bd0a2be9943ddb66

Aliases

arxiv: 1106.1498 · arxiv_version: 1106.1498v2 · doi: 10.48550/arxiv.1106.1498 · pith_short_12: OTNU62XI4457 · pith_short_16: OTNU62XI4457CBLP · pith_short_8: OTNU62XI

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/OTNU62XI4457CBLPCMMJUXFCYT \
  | 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: 74db4f6ae8e73bf1056f13189a5ca2c4e5a7cd500e3d2e54bd0a2be9943ddb66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6916acd6b4ceefd06454e66271e649861102c2b29adb73a49abb4da66d507c93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-08T05:02:19Z",
    "title_canon_sha256": "ec18d3ad55d628c48f1dbf8d776bcab250aedcbc72cc7bc8b63cca1a04a03b54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1498",
    "kind": "arxiv",
    "version": 2
  }
}