Pith Number

pith:UATYNTUJ

pith:2018:UATYNTUJ2IA7Y6OYGNEJSNLCTU

not attested not anchored not stored refs pending

Exact uniform sampling over catalan structures

Alexandros Angelopoulos, Eleni Bakali

arxiv:1803.03945 v1 · 2018-03-11 · cs.DM · cs.CG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UATYNTUJ2IA7Y6OYGNEJSNLCTU}

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.

Cited by

1 paper in Pith

Burnside process on parking functions and Dyck paths

Receipt and verification

First computed	2026-05-18T00:21:33.376684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a02786ce89d201fc79d833489935629d2b8dc8ced6040bb0b9296dfb72ed0fdb

Aliases

arxiv: 1803.03945 · arxiv_version: 1803.03945v1 · doi: 10.48550/arxiv.1803.03945 · pith_short_12: UATYNTUJ2IA7 · pith_short_16: UATYNTUJ2IA7Y6OY · pith_short_8: UATYNTUJ

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/UATYNTUJ2IA7Y6OYGNEJSNLCTU \
  | 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: a02786ce89d201fc79d833489935629d2b8dc8ced6040bb0b9296dfb72ed0fdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb231fd76b5ad93e4240538db6f1b97510bd000a7cc93ee78f547be5abc9b5d",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-03-11T11:26:25Z",
    "title_canon_sha256": "fd2b012707d913c384feee86b82ffcd47a9a8f776dea435ad91bdca61a631368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03945",
    "kind": "arxiv",
    "version": 1
  }
}