Pith Number

pith:TYSESFWR

pith:2011:TYSESFWRN72YSUNIIK7X4X62HF

not attested not anchored not stored refs pending

Counting Humps in Motzkin paths

Rosena R.X. Du, Yun Ding

arxiv:1109.2661 v1 · 2011-09-13 · 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{TYSESFWRN72YSUNIIK7X4X62HF}

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	2026-05-18T04:13:07.933698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e244916d16ff58951a842bf7e5fda397dced390d35b05f724a389e572a48e56

Aliases

arxiv: 1109.2661 · arxiv_version: 1109.2661v1 · doi: 10.48550/arxiv.1109.2661 · pith_short_12: TYSESFWRN72Y · pith_short_16: TYSESFWRN72YSUNI · pith_short_8: TYSESFWR

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/TYSESFWRN72YSUNIIK7X4X62HF \
  | 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: 9e244916d16ff58951a842bf7e5fda397dced390d35b05f724a389e572a48e56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3bab845848cf85c99e6fe9798e8833771f8dc604e7436ebf1982c8bae5bab94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-13T01:48:54Z",
    "title_canon_sha256": "156dca72d486c74ffd15a6d6c4452f0254363045085fc380f777307661acfe10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2661",
    "kind": "arxiv",
    "version": 1
  }
}