Pith Number

pith:YTRJWIJO

pith:2013:YTRJWIJO5P244SDXG44P557FG5

not attested not anchored not stored refs pending

Counting generalized Dyck paths

Yukiko Fukukawa

arxiv:1304.5595 v1 · 2013-04-20 · 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{YTRJWIJO5P244SDXG44P557FG5}

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	2026-05-18T03:27:31.544513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4e29b212eebf5ce48773738fef7e537685fde951119f5d004796c34cb17b8d7

Aliases

arxiv: 1304.5595 · arxiv_version: 1304.5595v1 · doi: 10.48550/arxiv.1304.5595 · pith_short_12: YTRJWIJO5P24 · pith_short_16: YTRJWIJO5P244SDX · pith_short_8: YTRJWIJO

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/YTRJWIJO5P244SDXG44P557FG5 \
  | 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: c4e29b212eebf5ce48773738fef7e537685fde951119f5d004796c34cb17b8d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe302b8a78f1837f8a970f9d8e032e93c12cd1e3cafcf5ad93b44a6111f3c15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-20T07:18:51Z",
    "title_canon_sha256": "30f984a3870daeddcc14aac84399d8a272a890f0e355c53cf35540233de79eb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5595",
    "kind": "arxiv",
    "version": 1
  }
}