Pith Number

pith:RO4ZCUP5

pith:2018:RO4ZCUP5C7QMCLJJLMSBJGABK5

not attested not anchored not stored refs pending

Derangements, Ehrhart Theory, and Local h-polynomials

Liam Solus, Nils Gustafsson

arxiv:1807.05246 v2 · 2018-07-13 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RO4ZCUP5C7QMCLJJLMSBJGABK5}

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	2026-07-05T00:54:27.289389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bb99151fd17e0c12d295b2414980157655caceb30a653b4901b552a530ed591

Aliases

arxiv: 1807.05246 · arxiv_version: 1807.05246v2 · doi: 10.48550/arxiv.1807.05246 · pith_short_12: RO4ZCUP5C7QM · pith_short_16: RO4ZCUP5C7QMCLJJ · pith_short_8: RO4ZCUP5

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/RO4ZCUP5C7QMCLJJLMSBJGABK5 \
  | 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: 8bb99151fd17e0c12d295b2414980157655caceb30a653b4901b552a530ed591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b5f57af0c75a0adc2eb47d9ce558d46aecbcbc5a3913e1d5ce837b9f0fd2e3c",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-13T18:55:22Z",
    "title_canon_sha256": "b694f558331d8eca2e869464b900b3a59271ad01cfe9a93f04245f5921d3dad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05246",
    "kind": "arxiv",
    "version": 2
  }
}