Pith Number

pith:C5MLZTDO

pith:2011:C5MLZTDOCYILMHPLESUUANLNH5

not attested not anchored not stored refs pending

Toric Degenerations of Fano Threefolds Giving Weak Landau-Ginzburg Models

Jacob Lewis, Nathan Owen Ilten, Victor Przyjalkowski

arxiv:1102.4664 v3 · 2011-02-23 · 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{C5MLZTDOCYILMHPLESUUANLNH5}

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	2026-05-18T03:40:36.883638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1758bccc6e1610b61deb24a940356d3f54ff1d1e6b046887664312816a6cf38d

Aliases

arxiv: 1102.4664 · arxiv_version: 1102.4664v3 · doi: 10.48550/arxiv.1102.4664 · pith_short_12: C5MLZTDOCYIL · pith_short_16: C5MLZTDOCYILMHPL · pith_short_8: C5MLZTDO

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/C5MLZTDOCYILMHPLESUUANLNH5 \
  | 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: 1758bccc6e1610b61deb24a940356d3f54ff1d1e6b046887664312816a6cf38d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f27629943cd61e92f571930854bf5d517c352441a44bab2fce0fc6b0341031e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-23T06:05:08Z",
    "title_canon_sha256": "13c7b8cbf49f4b65ac7b6fa2246bc2a785b5c1c34ae52d2e784062848c1abb4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4664",
    "kind": "arxiv",
    "version": 3
  }
}