Pith Number

pith:2I7B6E64

pith:2026:2I7B6E64S7Q25MKGDEX76WDWPS

not attested not anchored not stored refs pending

Random Generation of $k$-coloured Motzkin Paths

Antonio Bernini (University of Florence), Elena Barcucci (University of Florence), Renzo Pinzani (University of Florence), Stefano Bilotta (University of Florence)

arxiv:2606.13151 v1 · 2026-06-11 · cs.DS · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2I7B6E64S7Q25MKGDEX76WDWPS}

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	2026-06-12T01:09:43.249420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d23e1f13dc97e1aeb146192fff58767c9087104238ae5db7d428590a92e36a80

Aliases

arxiv: 2606.13151 · arxiv_version: 2606.13151v1 · doi: 10.48550/arxiv.2606.13151 · pith_short_12: 2I7B6E64S7Q2 · pith_short_16: 2I7B6E64S7Q25MKG · pith_short_8: 2I7B6E64

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/2I7B6E64S7Q25MKGDEX76WDWPS \
  | 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: d23e1f13dc97e1aeb146192fff58767c9087104238ae5db7d428590a92e36a80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "070c1a53ca3457798da6c895d4b49c83f3f4264afbac66ca8c08e38fb8437163",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-06-11T10:26:29Z",
    "title_canon_sha256": "1d260ca1ec3eff445665c6bd085252b844beccaeb33bd0d4b55c445fe5f40887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13151",
    "kind": "arxiv",
    "version": 1
  }
}