Pith Number

pith:CW4NEYMD

pith:2014:CW4NEYMDIHXX4AMLKNGH6BAHW2

not attested not anchored not stored refs pending

On The Number of Similar Instances of a Pattern in a Finite Set

Bernardo Abrego, Daniel J. Katz, Levon Kolesnikov, Silvia Fernandez-Merchant

arxiv:1501.00076 v2 · 2014-12-31 · math.CO · cs.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CW4NEYMDIHXX4AMLKNGH6BAHW2}

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	2026-05-18T00:57:38.415725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15b8d2618341ef7e018b534c7f0407b6b03a8565b6b945f394110e53aaa1e91f

Aliases

arxiv: 1501.00076 · arxiv_version: 1501.00076v2 · doi: 10.48550/arxiv.1501.00076 · pith_short_12: CW4NEYMDIHXX · pith_short_16: CW4NEYMDIHXX4AML · pith_short_8: CW4NEYMD

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/CW4NEYMDIHXX4AMLKNGH6BAHW2 \
  | 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: 15b8d2618341ef7e018b534c7f0407b6b03a8565b6b945f394110e53aaa1e91f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd9640d521b6cc81abf957ab051b10d57dc16ee4d9eed47d28358465f3ad0234",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-31T04:36:39Z",
    "title_canon_sha256": "bf75ef490fe3cc51ecb9c8ce022ead55b5966c19903f2e3b343c5dd3e3f8328d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00076",
    "kind": "arxiv",
    "version": 2
  }
}