Pith Number

pith:PSNWK3XC

pith:2017:PSNWK3XCI44OC3VQ5OGNASY6JT

not attested not anchored not stored refs pending

Enumeration of permutations avoiding a triple of 4-letter patterns is all done

David Callan, Mark Shattuck, Toufik Mansour

arxiv:1709.04279 v2 · 2017-09-13 · 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{PSNWK3XCI44OC3VQ5OGNASY6JT}

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	2026-05-18T00:29:51.288122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c9b656ee24738e16eb0eb8cd04b1e4cc3c3417bd6bcde16c1e31cdab213155b

Aliases

arxiv: 1709.04279 · arxiv_version: 1709.04279v2 · doi: 10.48550/arxiv.1709.04279 · pith_short_12: PSNWK3XCI44O · pith_short_16: PSNWK3XCI44OC3VQ · pith_short_8: PSNWK3XC

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/PSNWK3XCI44OC3VQ5OGNASY6JT \
  | 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: 7c9b656ee24738e16eb0eb8cd04b1e4cc3c3417bd6bcde16c1e31cdab213155b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58adef83c140b5da372848c9042f4181bfd43fdf4c206a4ee4e75359cc81f8d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-13T12:22:45Z",
    "title_canon_sha256": "3c9f7457a41316c594a5519952e3f87198707f1800e08d0c7e04ddc6727c699b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04279",
    "kind": "arxiv",
    "version": 2
  }
}