Pith Number

pith:UZNJXYJB

pith:2025:UZNJXYJBFCSWQFDCXH7QIUUWZ2

not attested not anchored not stored refs pending

Canonical forms of polytopes from adjoints

Christian Gaetz

arxiv:2504.07272 v1 · 2025-04-09 · math.CO · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZNJXYJBFCSWQFDCXH7QIUUWZ2}

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

2 papers in Pith

Canonical forms and moment-generating functions of plane polypols

Receipt and verification

First computed	2026-07-05T10:47:06.119254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a65a9be12128a5681462b9ff045296ceb6ec1280b590377c5c97775ad4f35f9d

Aliases

arxiv: 2504.07272 · arxiv_version: 2504.07272v1 · doi: 10.48550/arxiv.2504.07272 · pith_short_12: UZNJXYJBFCSW · pith_short_16: UZNJXYJBFCSWQFDC · pith_short_8: UZNJXYJB

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/UZNJXYJBFCSWQFDCXH7QIUUWZ2 \
  | 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: a65a9be12128a5681462b9ff045296ceb6ec1280b590377c5c97775ad4f35f9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b83dbee0eed5d40959c44661830273cfc1d6730814425179ddc00cf6e0755964",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-09T20:59:08Z",
    "title_canon_sha256": "9a5e5a929232faacb18b51dfa5502cc27f13b850949f6292933d4b42fbe0812f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.07272",
    "kind": "arxiv",
    "version": 1
  }
}