Pith Number

pith:LIX3XPT6

pith:2009:LIX3XPT6DN75FQQKGDNIWE3SHW

not attested not anchored not stored refs pending

FJRW rings and Landau-Ginzburg Mirror Symmetry

Marc Krawitz

arxiv:0906.0796 v1 · 2009-06-04 · math.AG · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIX3XPT6DN75FQQKGDNIWE3SHW}

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

4 papers in Pith

Free-Field Construction of Heterotic String Compactified on Calabi-Yau Orbifolds via Correspondence with $\mathcal{N}{=}2$ SCFT Minimal Models

Beyond Algebraic Solutions to Stringy Spacetime

Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces

Beyond Algebraic Superstring Compactification: Part II

Receipt and verification

First computed	2026-07-04T15:54:15.652746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a2fbbbe7e1b7fd2c20a30da8b13723da9092f1afdc2bc83cee8f55eeb428dac

Aliases

arxiv: 0906.0796 · arxiv_version: 0906.0796v1 · doi: 10.48550/arxiv.0906.0796 · pith_short_12: LIX3XPT6DN75 · pith_short_16: LIX3XPT6DN75FQQK · pith_short_8: LIX3XPT6

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/LIX3XPT6DN75FQQKGDNIWE3SHW \
  | 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: 5a2fbbbe7e1b7fd2c20a30da8b13723da9092f1afdc2bc83cee8f55eeb428dac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dac95c395a0f9e0a1f36befe0fc51255c3f820af651dfa1cd8ed2a48c33b7a8c",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-04T18:44:58Z",
    "title_canon_sha256": "aac42017061ffd2cf6c4c7a6ed5ac15407a21bf0fcdfaf41532e0e9013cf291c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0796",
    "kind": "arxiv",
    "version": 1
  }
}