Pith Number

pith:G4WLDCQR

pith:2019:G4WLDCQRRB7TG5XVKLCGCIZOTQ

not attested not anchored not stored refs pending

Some Algebraic Properties of Lecture Hall Polytopes

Liam Solus, Petter Br\"and\'en

arxiv:1911.12459 v1 · 2019-11-27 · 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{G4WLDCQRRB7TG5XVKLCGCIZOTQ}

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	2026-07-05T00:22:45.392984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

372cb18a11887f3376f552c461232e9c373120da0a747ab2b6aa230b85078567

Aliases

arxiv: 1911.12459 · arxiv_version: 1911.12459v1 · doi: 10.48550/arxiv.1911.12459 · pith_short_12: G4WLDCQRRB7T · pith_short_16: G4WLDCQRRB7TG5XV · pith_short_8: G4WLDCQR

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/G4WLDCQRRB7TG5XVKLCGCIZOTQ \
  | 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: 372cb18a11887f3376f552c461232e9c373120da0a747ab2b6aa230b85078567

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "714777fe109b878552215fc5d37ef92a6aa6461e99a0aebc2c2fe24989fd9c85",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-11-27T23:09:11Z",
    "title_canon_sha256": "bfa32d285f32f5d28c395146af5bb97554fa3211d9b6e1fc20920e1cf5369fb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.12459",
    "kind": "arxiv",
    "version": 1
  }
}