Pith Number

pith:VIBCY3MA

pith:2013:VIBCY3MA3OSZGVLJQVPL5TARST

not attested not anchored not stored refs pending

A refinement of Wilf-equivalence for patterns of length 4

Jonathan Bloom

arxiv:1305.6616 v2 · 2013-05-28 · 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{VIBCY3MA3OSZGVLJQVPL5TARST}

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	2026-05-18T02:47:50.881602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa022c6d80dba5935569855ebecc1194ef5e51d61e4ce9421e5de0d8bd863192

Aliases

arxiv: 1305.6616 · arxiv_version: 1305.6616v2 · doi: 10.48550/arxiv.1305.6616 · pith_short_12: VIBCY3MA3OSZ · pith_short_16: VIBCY3MA3OSZGVLJ · pith_short_8: VIBCY3MA

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/VIBCY3MA3OSZGVLJQVPL5TARST \
  | 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: aa022c6d80dba5935569855ebecc1194ef5e51d61e4ce9421e5de0d8bd863192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "802eeee8654f6c985132ff54380492a287935d705b80e43ba1340f6112ea74d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-28T20:03:54Z",
    "title_canon_sha256": "18d876d4770206238d83509ce8f5717f27ce21d1b1b437ac195d09c9bce0367b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6616",
    "kind": "arxiv",
    "version": 2
  }
}