Pith Number

pith:375TEPIP

pith:2016:375TEPIPZ5XJW4Q664LI7DMH2V

not attested not anchored not stored refs pending

Wilf classification of triples of 4-letter patterns

David Callan, Mark Shattuck, Toufik Mansour

arxiv:1605.04969 v1 · 2016-05-16 · 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{375TEPIPZ5XJW4Q664LI7DMH2V}

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	2026-05-18T01:14:37.858947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dffb323d0fcf6e9b721ef7168f8d87d5459c5a4429e79069d49181cea4d72b8b

Aliases

arxiv: 1605.04969 · arxiv_version: 1605.04969v1 · doi: 10.48550/arxiv.1605.04969 · pith_short_12: 375TEPIPZ5XJ · pith_short_16: 375TEPIPZ5XJW4Q6 · pith_short_8: 375TEPIP

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/375TEPIPZ5XJW4Q664LI7DMH2V \
  | 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: dffb323d0fcf6e9b721ef7168f8d87d5459c5a4429e79069d49181cea4d72b8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "201852dab1436dae0a8be2c8a4d82a39b0803a2d6b46bffc60b74f51a17bd671",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-16T22:18:22Z",
    "title_canon_sha256": "2e5f18b04cfc86efaf5fd067c2c6572b8b0f95531cbcd06d67f0dae40d7c583e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04969",
    "kind": "arxiv",
    "version": 1
  }
}