Pith Number

pith:T5O2A237

pith:2025:T5O2A2372VSKX7UFFSTV2H6XY7

not attested not anchored not stored refs pending

An exceptional equinumerosity of lattice paths and Young tableaux

Aidan Cook, Alwin Chen, Benjamin Wong, Erica Liu, Evan Bialo, Liam Ayres, Maryam Mohammadi Yekta, Matteus Froese, Oliver Pechenik

arxiv:2506.03116 v1 · 2025-06-03 · 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{T5O2A2372VSKX7UFFSTV2H6XY7}

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	2026-07-05T11:15:15.107480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f5da06b7fd564abfe852ca75d1fd7c7c50ac0f7d365430fb2dac6a339f85d97

Aliases

arxiv: 2506.03116 · arxiv_version: 2506.03116v1 · doi: 10.48550/arxiv.2506.03116 · pith_short_12: T5O2A2372VSK · pith_short_16: T5O2A2372VSKX7UF · pith_short_8: T5O2A237

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/T5O2A2372VSKX7UFFSTV2H6XY7 \
  | 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: 9f5da06b7fd564abfe852ca75d1fd7c7c50ac0f7d365430fb2dac6a339f85d97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b2402e3deab5e4d8d8d7febf13dd9dd6d2d574351d69229ad873a75c7d358d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-03T17:49:44Z",
    "title_canon_sha256": "c7e720c2767fe21ff3c838cff50bff4fdf6ecf97b5a9d5ca96a676bd55c1c8bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03116",
    "kind": "arxiv",
    "version": 1
  }
}