Pith Number

pith:HXCXXCFK

pith:2014:HXCXXCFKUFOK76LEMF546OXKFH

not attested not anchored not stored refs pending

Recurrence relations in counting the pattern 13-2 in flattened permutations

David G.L. Wang, Toufik Mansour

arxiv:1410.4109 v1 · 2014-10-15 · 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{HXCXXCFKUFOK76LEMF546OXKFH}

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	2026-05-18T02:40:02.626666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dc57b88aaa15caff964617bcf3aea29c8170cc241e300b12708d98c5e989112

Aliases

arxiv: 1410.4109 · arxiv_version: 1410.4109v1 · doi: 10.48550/arxiv.1410.4109 · pith_short_12: HXCXXCFKUFOK · pith_short_16: HXCXXCFKUFOK76LE · pith_short_8: HXCXXCFK

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/HXCXXCFKUFOK76LEMF546OXKFH \
  | 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: 3dc57b88aaa15caff964617bcf3aea29c8170cc241e300b12708d98c5e989112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51e734f604902a66bff8de96e957b9e0518c0f1c5be0c9ca73c5216172fce47b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-15T15:58:36Z",
    "title_canon_sha256": "34ad37b050b9ea9fade11d76450634793acc89c62f62df08f78c8d667f7ae334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4109",
    "kind": "arxiv",
    "version": 1
  }
}