Pith Number

pith:EMHCKENC

pith:2019:EMHCKENCWQAM3SAMKAG4Y4N7WF

not attested not anchored not stored refs pending

On two subclasses of Motzkin paths and their relation to ternary trees

Helmut Prodinger, Sarah J. Selkirk, Stephan Wagner

arxiv:1902.01681 v1 · 2019-02-05 · 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{EMHCKENCWQAM3SAMKAG4Y4N7WF}

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	2026-05-17T23:54:47.008794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

230e2511a2b400cdc80c500dcc71bfb154d2481ced2d7d310c3990f3428ccd94

Aliases

arxiv: 1902.01681 · arxiv_version: 1902.01681v1 · doi: 10.48550/arxiv.1902.01681 · pith_short_12: EMHCKENCWQAM · pith_short_16: EMHCKENCWQAM3SAM · pith_short_8: EMHCKENC

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/EMHCKENCWQAM3SAMKAG4Y4N7WF \
  | 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: 230e2511a2b400cdc80c500dcc71bfb154d2481ced2d7d310c3990f3428ccd94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04879622b4c7f6813030c63b8f35091e88bd2c53eed864bade1cf17122f9d4d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-05T14:03:02Z",
    "title_canon_sha256": "3fc2ddde30edbe3ee5e4a54582cce292157f5f8fed8cf08175d4164bbf6f1661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01681",
    "kind": "arxiv",
    "version": 1
  }
}