Pith Number

pith:SPL43OBF

pith:2018:SPL43OBF2Q6J2MDDFZGTVRIFGI

not attested not anchored not stored refs pending

Pattern avoidance in permutations and their squares

Miklos Bona, Rebecca Smith

arxiv:1901.00026 v2 · 2018-12-31 · 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{SPL43OBF2Q6J2MDDFZGTVRIFGI}

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	2026-05-17T23:44:07.307935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93d7cdb825d43c9d30632e4d3ac5053228b2dbaaf76e0ae55a8f17d7f65b8d4d

Aliases

arxiv: 1901.00026 · arxiv_version: 1901.00026v2 · doi: 10.48550/arxiv.1901.00026 · pith_short_12: SPL43OBF2Q6J · pith_short_16: SPL43OBF2Q6J2MDD · pith_short_8: SPL43OBF

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/SPL43OBF2Q6J2MDDFZGTVRIFGI \
  | 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: 93d7cdb825d43c9d30632e4d3ac5053228b2dbaaf76e0ae55a8f17d7f65b8d4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1192fa3189aa4a92155e251b5f5329e1c66890e60d2fb38d060a26bb5fcd885a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-31T19:15:35Z",
    "title_canon_sha256": "e366dca3da858c6ae89ecc61550758a18dd4a9c952a5ed5d09d96574ecdd9908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00026",
    "kind": "arxiv",
    "version": 2
  }
}