Pith Number

pith:A27OFJBG

pith:2013:A27OFJBGVQ5ACQ5EOKQEU3ELG4

not attested not anchored not stored refs pending

Pattern avoidance in ordered set partitions and words

Anisse Kasraoui

arxiv:1307.0495 v1 · 2013-07-01 · 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{A27OFJBGVQ5ACQ5EOKQEU3ELG4}

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	2026-05-18T03:19:33.260808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06bee2a426ac3a0143a472a04a6c8b373be100f949a770581f09dfef89fcac44

Aliases

arxiv: 1307.0495 · arxiv_version: 1307.0495v1 · doi: 10.48550/arxiv.1307.0495 · pith_short_12: A27OFJBGVQ5A · pith_short_16: A27OFJBGVQ5ACQ5E · pith_short_8: A27OFJBG

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/A27OFJBGVQ5ACQ5EOKQEU3ELG4 \
  | 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: 06bee2a426ac3a0143a472a04a6c8b373be100f949a770581f09dfef89fcac44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd2022e10015bc65fc8316466983c8a52bda37912a73b1604459b90da4f41298",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-01T19:53:38Z",
    "title_canon_sha256": "ad6ffb001db3f048a10f768763428bc28d418cc591a2c769734743ce9eaf554b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0495",
    "kind": "arxiv",
    "version": 1
  }
}