Pith Number

pith:6XCO5GZQ

pith:2011:6XCO5GZQ3WHOCUYMY4F75JROWR

not attested not anchored not stored refs pending

Inverses of Motzkin and Schr\"oder Paths

Heinrich Niederhausen

arxiv:1105.3713 v1 · 2011-05-18 · 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{6XCO5GZQ3WHOCUYMY4F75JROWR}

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	2026-05-18T04:21:52.027964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5c4ee9b30dd8ee1530cc70bfea62eb4437af488b578f5a0f4f80ca46fb018a9

Aliases

arxiv: 1105.3713 · arxiv_version: 1105.3713v1 · doi: 10.48550/arxiv.1105.3713 · pith_short_12: 6XCO5GZQ3WHO · pith_short_16: 6XCO5GZQ3WHOCUYM · pith_short_8: 6XCO5GZQ

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/6XCO5GZQ3WHOCUYMY4F75JROWR \
  | 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: f5c4ee9b30dd8ee1530cc70bfea62eb4437af488b578f5a0f4f80ca46fb018a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5ebfc1f0a7be08418781860f9d8a6565baca105f0848d4740b3a91adc99a546",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-18T18:39:55Z",
    "title_canon_sha256": "1e70951d32c03139635eefe8e374d195dfc9fc81628f4ab0b8c6f62d183877b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3713",
    "kind": "arxiv",
    "version": 1
  }
}