Pith Number

pith:VLHK7ASP

pith:2013:VLHK7ASPYJMMQQCL3KN2SCHNX4

not attested not anchored not stored refs pending

Counting subwords in flattened permutations

David G.L. Wang, Mark Shattuck, Toufik Mansour

arxiv:1307.3637 v1 · 2013-07-13 · 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{VLHK7ASPYJMMQQCL3KN2SCHNX4}

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	2026-05-18T03:18:28.332273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaceaf824fc258c8404bda9ba908edbf04b211c9493b8f9de39d805b491247a1

Aliases

arxiv: 1307.3637 · arxiv_version: 1307.3637v1 · doi: 10.48550/arxiv.1307.3637 · pith_short_12: VLHK7ASPYJMM · pith_short_16: VLHK7ASPYJMMQQCL · pith_short_8: VLHK7ASP

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/VLHK7ASPYJMMQQCL3KN2SCHNX4 \
  | 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: aaceaf824fc258c8404bda9ba908edbf04b211c9493b8f9de39d805b491247a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3da00c59b13e9b2d799836b38f48ff87e0135cce654886439b51d87dd88d0931",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-13T10:07:03Z",
    "title_canon_sha256": "9bf99fd7d16c8aeddf5dc3d49ee1f6a894c1c1515fbc9c5f6ad4b014b106660e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3637",
    "kind": "arxiv",
    "version": 1
  }
}