Pith Number

pith:LRI2K752

pith:2024:LRI2K752K6V5COEV2I73DIHBGB

not attested not anchored not stored refs pending

Operahedron Lattices

Andrew Sack, Colin Defant

arxiv:2402.12717 v1 · 2024-02-20 · 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{LRI2K752K6V5COEV2I73DIHBGB}

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.

Cited by

1 paper in Pith

$(P,\phi)$-Tamari and higher torsion lattices of type $\mathbf{A}$

Receipt and verification

First computed	2026-07-05T07:47:15.304768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c51a57fba57abd13895d23fb1a0e1304e1be14a60c4c188bdb0d97adffe612d

Aliases

arxiv: 2402.12717 · arxiv_version: 2402.12717v1 · doi: 10.48550/arxiv.2402.12717 · pith_short_12: LRI2K752K6V5 · pith_short_16: LRI2K752K6V5COEV · pith_short_8: LRI2K752

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/LRI2K752K6V5COEV2I73DIHBGB \
  | 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: 5c51a57fba57abd13895d23fb1a0e1304e1be14a60c4c188bdb0d97adffe612d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ab625dd9a43988de1707dda38a953529717fde31318b187606fa43cd1a613e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-02-20T05:01:48Z",
    "title_canon_sha256": "251bceea2a7225268d02541ee58cf98a0de29b4836545374444f00d6cdf3daab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.12717",
    "kind": "arxiv",
    "version": 1
  }
}