Pith Number

pith:226QRNJ6

pith:2018:226QRNJ6ISONSF3DCQNJNOIWW3

not attested not anchored not stored refs pending

Quasi-period collapse for duals to Fano polygons: an explanation arising from algebraic geometry

Alexander M. Kasprzyk, Ben Wormleighton

arxiv:1810.12472 v1 · 2018-10-30 · math.CO · 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{226QRNJ6ISONSF3DCQNJNOIWW3}

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	2026-05-18T00:02:02.591720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6bd08b53e449cd91763141a96b916b6f72492b4a0bb22c7b1f7d3de0de799a0

Aliases

arxiv: 1810.12472 · arxiv_version: 1810.12472v1 · doi: 10.48550/arxiv.1810.12472 · pith_short_12: 226QRNJ6ISON · pith_short_16: 226QRNJ6ISONSF3D · pith_short_8: 226QRNJ6

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/226QRNJ6ISONSF3DCQNJNOIWW3 \
  | 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: d6bd08b53e449cd91763141a96b916b6f72492b4a0bb22c7b1f7d3de0de799a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8acb6f22ee730271b1300591085101a125075b5923db460a7c82f1d5aa0ed336",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-30T01:07:38Z",
    "title_canon_sha256": "597605e636438c54b72ce1730c7560d77d40c6d642f3a979e18372729a85ec46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12472",
    "kind": "arxiv",
    "version": 1
  }
}