Pith Number

pith:3C3XLDPT

pith:2026:3C3XLDPTKTICHW3GUGN4ZBGKZL

not attested not anchored not stored refs pending

Finite-state enumeration of adjacency-constrained 132-avoiding permutations

Dai Akita, Teruki Mayama

arxiv:2605.23519 v1 · 2026-05-22 · 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{3C3XLDPTKTICHW3GUGN4ZBGKZL}

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	2026-05-25T02:01:58.972391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b7758df354d023db66a19bcc84cacadf0d8a4095d849d66da3a7712d602c9d

Aliases

arxiv: 2605.23519 · arxiv_version: 2605.23519v1 · doi: 10.48550/arxiv.2605.23519 · pith_short_12: 3C3XLDPTKTIC · pith_short_16: 3C3XLDPTKTICHW3G · pith_short_8: 3C3XLDPT

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/3C3XLDPTKTICHW3GUGN4ZBGKZL \
  | 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: d8b7758df354d023db66a19bcc84cacadf0d8a4095d849d66da3a7712d602c9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0255a7520a0582c9a27a6b3c1cb85356dcdf9730aebdb8640113e91f53f719ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-22T11:34:27Z",
    "title_canon_sha256": "e66ae02e5a24c54676c64d9b27520abc4bac31752e49648b59303a7b5aad1709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23519",
    "kind": "arxiv",
    "version": 1
  }
}