Pith Number

pith:53B6ZHG3

pith:2026:53B6ZHG3PEB55F23AZGAOAEELI

not attested not anchored not stored refs pending

Max-tree for d-permutations and pattern avoidance

Thomas Muller

arxiv:2605.18274 v1 · 2026-05-18 · 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{53B6ZHG3PEB55F23AZGAOAEELI}

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	2026-05-20T00:05:52.941172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eec3ec9cdb7903de975b064c0700845a3a650d5a4d35c2b9e7367074d1fbd9f0

Aliases

arxiv: 2605.18274 · arxiv_version: 2605.18274v1 · doi: 10.48550/arxiv.2605.18274 · pith_short_12: 53B6ZHG3PEB5 · pith_short_16: 53B6ZHG3PEB55F23 · pith_short_8: 53B6ZHG3

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/53B6ZHG3PEB55F23AZGAOAEELI \
  | 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: eec3ec9cdb7903de975b064c0700845a3a650d5a4d35c2b9e7367074d1fbd9f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16143f17689e82d6b577997096914982e7afb1539c10fac0a909189341a6a5d5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-18T12:08:19Z",
    "title_canon_sha256": "8663c4c0d61f386367e53912eb1fdf5d4f766d77bdaa074bafe4a84e54271e39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18274",
    "kind": "arxiv",
    "version": 1
  }
}