Pith Number

pith:INPHY5AR

pith:2019:INPHY5ARMJY634RJFNIBYHPKSR

not attested not anchored not stored refs pending

The feasible region for consecutive patterns of permutations is a cycle polytope

Jacopo Borga, Raul Penaguiao

arxiv:1910.02233 v2 · 2019-10-05 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INPHY5ARMJY634RJFNIBYHPKSR}

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	2026-07-05T02:08:28.181493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

435e7c74116271edf2292b501c1dea9467ffa9f5ad83ed0c2de49e0757e0bbb8

Aliases

arxiv: 1910.02233 · arxiv_version: 1910.02233v2 · doi: 10.48550/arxiv.1910.02233 · pith_short_12: INPHY5ARMJY6 · pith_short_16: INPHY5ARMJY634RJ · pith_short_8: INPHY5AR

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/INPHY5ARMJY634RJFNIBYHPKSR \
  | 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: 435e7c74116271edf2292b501c1dea9467ffa9f5ad83ed0c2de49e0757e0bbb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1c3afa1b2040cd43f63c65cb48c788be705acc05119a597d75a1f2ea2a61ace",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-10-05T08:40:29Z",
    "title_canon_sha256": "b063beb074ad55da7a4d9c2075e5541ec9e1a5feae84459669f6d38a7bdbdab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.02233",
    "kind": "arxiv",
    "version": 2
  }
}