Pith Number

pith:DUDEV6HE

pith:2010:DUDEV6HEK76W4ILMDOSVNW4WGZ

not attested not anchored not stored refs pending

Crossings, Motzkin paths and Moments

Martin Rubey, Matthieu Josuat-Verg\`es

arxiv:1008.3093 v1 · 2010-08-18 · 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{DUDEV6HEK76W4ILMDOSVNW4WGZ}

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	2026-05-18T00:35:36.503765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d064af8e457fd6e216c1ba556db96364bbb528bfa1c7b6916889d743d872e87

Aliases

arxiv: 1008.3093 · arxiv_version: 1008.3093v1 · doi: 10.48550/arxiv.1008.3093 · pith_short_12: DUDEV6HEK76W · pith_short_16: DUDEV6HEK76W4ILM · pith_short_8: DUDEV6HE

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/DUDEV6HEK76W4ILMDOSVNW4WGZ \
  | 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: 1d064af8e457fd6e216c1ba556db96364bbb528bfa1c7b6916889d743d872e87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f16cf94e61a3d8bc83e11451024c212f903d96182c29c8fbe4b06ae2c88684f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-18T14:28:31Z",
    "title_canon_sha256": "de8db30fb95d4d86be25f1b0811abc92acda7eb90513068a1cd8d2cbc2f61669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3093",
    "kind": "arxiv",
    "version": 1
  }
}