Pith Number

pith:YH5W2R34

pith:2010:YH5W2R346PQWYA65GUUI3EOH7U

not attested not anchored not stored refs pending

Exterior Pairs and Up Step Statistics on Dyck Paths

Sen-Peng Eu, Tung-Shan Fu

arxiv:1010.5673 v1 · 2010-10-27 · 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{YH5W2R346PQWYA65GUUI3EOH7U}

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	2026-05-18T04:38:16.185930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1fb6d477cf3e16c03dd35288d91c7fd2435fa7093c5c8b71f75e57216e5ab70

Aliases

arxiv: 1010.5673 · arxiv_version: 1010.5673v1 · doi: 10.48550/arxiv.1010.5673 · pith_short_12: YH5W2R346PQW · pith_short_16: YH5W2R346PQWYA65 · pith_short_8: YH5W2R34

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/YH5W2R346PQWYA65GUUI3EOH7U \
  | 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: c1fb6d477cf3e16c03dd35288d91c7fd2435fa7093c5c8b71f75e57216e5ab70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "299bb4f2cd4ce4133e831e0ed5f18c023356e5846e6ff5a85c6e51340f5046c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-27T12:34:58Z",
    "title_canon_sha256": "dd617e6a906d56f07a99414c1215d70ae5da8023a16b308155f7b687f85ed0f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5673",
    "kind": "arxiv",
    "version": 1
  }
}