Pith Number

pith:LFQS5YHU

pith:2025:LFQS5YHUXOA4JZRAEGLWJQR5KY

not attested not anchored not stored refs pending

An Intersection Product for the Polytope Algebra

Thomas Wannerer

arxiv:2504.16678 v2 · 2025-04-23 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFQS5YHUXOA4JZRAEGLWJQR5KY}

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	2026-07-05T11:00:44.237799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59612ee0f4bb81c4e620219764c23d560fc0bf99f4b0eb386f9e46f03aca7286

Aliases

arxiv: 2504.16678 · arxiv_version: 2504.16678v2 · doi: 10.48550/arxiv.2504.16678 · pith_short_12: LFQS5YHUXOA4 · pith_short_16: LFQS5YHUXOA4JZRA · pith_short_8: LFQS5YHU

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/LFQS5YHUXOA4JZRAEGLWJQR5KY \
  | 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: 59612ee0f4bb81c4e620219764c23d560fc0bf99f4b0eb386f9e46f03aca7286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a72177c4c22d535f61c114d3da3ad3660353ff18a7100a66a87c48ba15bf579a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-23T12:54:07Z",
    "title_canon_sha256": "db5a6556e993ad6a63a59039647e2e7274378f708156974f40ef1516ced84744"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16678",
    "kind": "arxiv",
    "version": 2
  }
}