Pith Number

pith:FNGTJ2GM

pith:2025:FNGTJ2GMKMB2YJ3D7Y2UVVGVT7

not attested not anchored not stored refs pending

Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors

Jinyi Wang, Xinyu Wang, Yidong Sun

arxiv:2506.08407 v1 · 2025-06-10 · 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{FNGTJ2GMKMB2YJ3D7Y2UVVGVT7}

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	2026-07-05T11:18:49.099081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b4d34e8cc5303ac2763fe354ad4d59fc309e4796a9b0649563ce31f2b9334e3

Aliases

arxiv: 2506.08407 · arxiv_version: 2506.08407v1 · doi: 10.48550/arxiv.2506.08407 · pith_short_12: FNGTJ2GMKMB2 · pith_short_16: FNGTJ2GMKMB2YJ3D · pith_short_8: FNGTJ2GM

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/FNGTJ2GMKMB2YJ3D7Y2UVVGVT7 \
  | 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: 2b4d34e8cc5303ac2763fe354ad4d59fc309e4796a9b0649563ce31f2b9334e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d1acdbd1474ac3b74a4923f0d39ef766f096aa0a47c092ee83f5e298a9e05df",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-10T03:23:53Z",
    "title_canon_sha256": "52cb9eb7f324cf238a064dcacbeaee52eb81c3a143984110529b1601975c7a5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08407",
    "kind": "arxiv",
    "version": 1
  }
}