Pith Number

pith:2ZJURVIW

pith:2011:2ZJURVIW4IXFR2IN7GQCBE4JN3

not attested not anchored not stored refs pending

Pattern Matching in the Cycle Structure of Permutations

Jeffrey Remmel, Miles Eli Jones

arxiv:1102.3161 v1 · 2011-02-15 · 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{2ZJURVIW4IXFR2IN7GQCBE4JN3}

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	2026-05-18T04:28:38.304434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d65348d516e22e58e90df9a02093896ec8a162f7a42e1c0afb8c654a10360492

Aliases

arxiv: 1102.3161 · arxiv_version: 1102.3161v1 · doi: 10.48550/arxiv.1102.3161 · pith_short_12: 2ZJURVIW4IXF · pith_short_16: 2ZJURVIW4IXFR2IN · pith_short_8: 2ZJURVIW

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/2ZJURVIW4IXFR2IN7GQCBE4JN3 \
  | 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: d65348d516e22e58e90df9a02093896ec8a162f7a42e1c0afb8c654a10360492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1671060e665c18c3897c9cd67f14b5d2a61559a3a25dff548356f2d8dc55233e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-15T19:22:05Z",
    "title_canon_sha256": "ce07286dc2e8ece31a8298c2436264b0352f713c6de84ccdb674094ce87ac3f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3161",
    "kind": "arxiv",
    "version": 1
  }
}