Pith Number

pith:WPD57UUC

pith:2015:WPD57UUCDNQTHQNN4TH4QPGLJ2

not attested not anchored not stored refs pending

Equivalence classes for smooth Fano polytopes

Akihiro Higashitani

arxiv:1503.06434 v1 · 2015-03-22 · math.AG · 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{WPD57UUCDNQTHQNN4TH4QPGLJ2}

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	2026-05-18T02:20:38.461116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3c7dfd2821b6133c1ade4cfc83ccb4ea94884e2c140c38d52f85e88616bc777

Aliases

arxiv: 1503.06434 · arxiv_version: 1503.06434v1 · doi: 10.48550/arxiv.1503.06434 · pith_short_12: WPD57UUCDNQT · pith_short_16: WPD57UUCDNQTHQNN · pith_short_8: WPD57UUC

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/WPD57UUCDNQTHQNN4TH4QPGLJ2 \
  | 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: b3c7dfd2821b6133c1ade4cfc83ccb4ea94884e2c140c38d52f85e88616bc777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2133ae897a179dccfceff3c70b2103e7e8ceb065caa46cf2994ef6201301162",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-22T14:49:59Z",
    "title_canon_sha256": "c41970b977a319dec6c47f3536fb3040b49a815b9cc744a2677166f426a409b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06434",
    "kind": "arxiv",
    "version": 1
  }
}