Pith Number

pith:7H4F5GKE

pith:2018:7H4F5GKEXGZ7MWGBD5XYYUQ5JT

not attested not anchored not stored refs pending

Unicyclic Strong Permutations

Claude Gravel, Daniel Panario, David Thomson

arxiv:1809.03551 v3 · 2018-09-10 · cs.CR · 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{7H4F5GKEXGZ7MWGBD5XYYUQ5JT}

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	2026-05-17T23:40:55.879670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9f85e9944b9b3f658c11f6f8c521d4cd3a50c156a4fbd1619576b9f3f4c0c69

Aliases

arxiv: 1809.03551 · arxiv_version: 1809.03551v3 · doi: 10.48550/arxiv.1809.03551 · pith_short_12: 7H4F5GKEXGZ7 · pith_short_16: 7H4F5GKEXGZ7MWGB · pith_short_8: 7H4F5GKE

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/7H4F5GKEXGZ7MWGBD5XYYUQ5JT \
  | 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: f9f85e9944b9b3f658c11f6f8c521d4cd3a50c156a4fbd1619576b9f3f4c0c69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29b347bcfe0792a99bc67321d3dfc38b4270957d2d6965c59e3c6a594379bbfa",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2018-09-10T19:03:59Z",
    "title_canon_sha256": "d94d0a27b645a1df9ce7f84db0e03688074fec2d49f9bae51f043dd6a64dbfbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03551",
    "kind": "arxiv",
    "version": 3
  }
}