Pith Number

pith:36N5NVRH

pith:2013:36N5NVRHS22GFYEM2G77FU7RZH

not attested not anchored not stored refs pending

Recurrence relations for patterns of type $(2,1)$ in flattened permutations

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

arxiv:1306.3355 v1 · 2013-06-14 · 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{36N5NVRHS22GFYEM2G77FU7RZH}

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	2026-05-18T03:20:57.809353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df9bd6d62796b462e08cd1bff2d3f1c9f9bf7cd743dc0af599730dd1ea34b2bb

Aliases

arxiv: 1306.3355 · arxiv_version: 1306.3355v1 · doi: 10.48550/arxiv.1306.3355 · pith_short_12: 36N5NVRHS22G · pith_short_16: 36N5NVRHS22GFYEM · pith_short_8: 36N5NVRH

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/36N5NVRHS22GFYEM2G77FU7RZH \
  | 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: df9bd6d62796b462e08cd1bff2d3f1c9f9bf7cd743dc0af599730dd1ea34b2bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff536c452c4aff873421ad1667d3e173bf1df6e1bf80fbe32aa5f77ad2d32cf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-14T10:13:33Z",
    "title_canon_sha256": "1b2f80be576bdd1406ccf6b452c4a218f838b3d8a791c25d6d9b323802846378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3355",
    "kind": "arxiv",
    "version": 1
  }
}