Pith Number

pith:K5FH42CG

pith:2014:K5FH42CGU76DCADXTGS2QDEDPV

not attested not anchored not stored refs pending

The equidistribution of some length three vincular patterns on $S_n(132)$

Vincent Vajnovszki

arxiv:1412.3512 v1 · 2014-12-11 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5FH42CGU76DCADXTGS2QDEDPV}

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	2026-05-18T02:31:36.394230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

574a7e6846a7fc31007799a5a80c837d6a4a0ba25176bd2f133fda56fae5cca7

Aliases

arxiv: 1412.3512 · arxiv_version: 1412.3512v1 · doi: 10.48550/arxiv.1412.3512 · pith_short_12: K5FH42CGU76D · pith_short_16: K5FH42CGU76DCADX · pith_short_8: K5FH42CG

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/K5FH42CGU76DCADXTGS2QDEDPV \
  | 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: 574a7e6846a7fc31007799a5a80c837d6a4a0ba25176bd2f133fda56fae5cca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4da80c2ccb907b63eff636d0e04b0504b8a3452bef2e6fec8bd37067789a2b62",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-11T01:05:34Z",
    "title_canon_sha256": "d24461d9d75654d72622c3be31e0dce138f5d4d13e9f234c5494962c52e07a23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3512",
    "kind": "arxiv",
    "version": 1
  }
}