Pith Number

pith:HMM3LI44

pith:2024:HMM3LI44B2P5NUEV7NOGECRJVB

not attested not anchored not stored refs pending

The cyclicity rank of empty lattice simplices

Lukas Abend, Matthias Schymura

arxiv:2407.01179 v2 · 2024-07-01 · 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{HMM3LI44B2P5NUEV7NOGECRJVB}

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	2026-07-05T10:26:04.882567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b19b5a39c0e9fd6d095fb5c620a29a85e774ad6af54fc6ea127092296c143f0

Aliases

arxiv: 2407.01179 · arxiv_version: 2407.01179v2 · doi: 10.48550/arxiv.2407.01179 · pith_short_12: HMM3LI44B2P5 · pith_short_16: HMM3LI44B2P5NUEV · pith_short_8: HMM3LI44

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/HMM3LI44B2P5NUEV7NOGECRJVB \
  | 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: 3b19b5a39c0e9fd6d095fb5c620a29a85e774ad6af54fc6ea127092296c143f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a01b27dba53b141f274f9773336810fed55d53d20176da96bdcaa48aa83bda23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-01T11:07:26Z",
    "title_canon_sha256": "5372f1dc625497d864d208714464c9ea3c9ab0d7ca2bd84f5909d8e97ac07fa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.01179",
    "kind": "arxiv",
    "version": 2
  }
}