Pith Number

pith:GLZ5BBNI

pith:2004:GLZ5BBNILTVFS272BG6JV3S4WW

not attested not anchored not stored refs pending

Gorenstein toric Fano varieties

Benjamin Nill

arxiv:math/0405448 v1 · 2004-05-24 · 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{GLZ5BBNILTVFS272BG6JV3S4WW}

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

Fano and Reflexive Polytopes from Feynman Integrals

Receipt and verification

First computed	2026-07-04T14:38:38.785239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32f3d085a85cea596bfa09bc9aee5cb5b1f2b106983ef49d5bd2120e147d149c

Aliases

arxiv: math/0405448 · arxiv_version: math/0405448v1 · doi: 10.48550/arxiv.math/0405448 · pith_short_12: GLZ5BBNILTVF · pith_short_16: GLZ5BBNILTVFS272 · pith_short_8: GLZ5BBNI

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/GLZ5BBNILTVFS272BG6JV3S4WW \
  | 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: 32f3d085a85cea596bfa09bc9aee5cb5b1f2b106983ef49d5bd2120e147d149c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10a509a3ef618330c254721051eaa61494f5eeeef78f3f8e91262b1ebbfd2084",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-05-24T14:53:36Z",
    "title_canon_sha256": "5ad3fa02a28592c598d8719e84d40c9cab6a6c5cc3fa121f0f9e4927a729360b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405448",
    "kind": "arxiv",
    "version": 1
  }
}