Pith Number

pith:UJP5NI4K

pith:2011:UJP5NI4KTMUJ5SWIG4BB7FQPR5

not attested not anchored not stored refs pending

Asymptotic Enumeration of Non-crossing Partitions on Surfaces

Dimitrios M. Thilikos, Ignasi Sau, Juanjo Ru\'e

arxiv:1104.2477 v2 · 2011-04-13 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJP5NI4KTMUJ5SWIG4BB7FQPR5}

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	2026-05-18T02:22:09.411227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a25fd6a38a9b289ecac837021f960f8f411b01c2001c499c66296fa014f98918

Aliases

arxiv: 1104.2477 · arxiv_version: 1104.2477v2 · doi: 10.48550/arxiv.1104.2477 · pith_short_12: UJP5NI4KTMUJ · pith_short_16: UJP5NI4KTMUJ5SWI · pith_short_8: UJP5NI4K

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/UJP5NI4KTMUJ5SWIG4BB7FQPR5 \
  | 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: a25fd6a38a9b289ecac837021f960f8f411b01c2001c499c66296fa014f98918

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c66ffdfb43b195ece2810694081cf191d93e25aa58cd695271038e232e3e9f68",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-13T13:01:54Z",
    "title_canon_sha256": "b226d70dae19a03a477b0f2bdd3459acf0b0014d2dd242e139ca26403e049d89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2477",
    "kind": "arxiv",
    "version": 2
  }
}