Pith Number

pith:RR5OZVPZ

pith:2012:RR5OZVPZCLUY32NIL3AJOSWPTO

not attested not anchored not stored refs pending

New Wilf-equivalence results for dashed patterns

Anisse Kasraoui

arxiv:1201.4317 v1 · 2012-01-20 · 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{RR5OZVPZCLUY32NIL3AJOSWPTO}

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	2026-05-18T04:04:07.439954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c7aecd5f912e98de9a85ec0974acf9b8d12a217eed1106d63d387399ec05d6a

Aliases

arxiv: 1201.4317 · arxiv_version: 1201.4317v1 · doi: 10.48550/arxiv.1201.4317 · pith_short_12: RR5OZVPZCLUY · pith_short_16: RR5OZVPZCLUY32NI · pith_short_8: RR5OZVPZ

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/RR5OZVPZCLUY32NIL3AJOSWPTO \
  | 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: 8c7aecd5f912e98de9a85ec0974acf9b8d12a217eed1106d63d387399ec05d6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d57eafeb168887155b32f0fa2eea7febff1715817561dd91febcabb985b493b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-20T15:16:56Z",
    "title_canon_sha256": "0ec771e15150c0899a757b897931ab46b20f7a3924a96d6faf2dd6cd74c01aaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4317",
    "kind": "arxiv",
    "version": 1
  }
}