Pith Number

pith:WMAF7NW4

pith:1993:WMAF7NW4ANXIXA4ITPT5IDCLYO

not attested not anchored not stored refs pending

Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Victor V. Batyrev

arxiv:alg-geom/9310003 v1 · 1993-10-05 · alg-geom · 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{WMAF7NW4ANXIXA4ITPT5IDCLYO}

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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

15 papers in Pith

Calabi-Yau Orientifold Hypersurfaces and their F-theory Uplifts

On Calabi-Yau Threefolds For Unified LVS Inflation

An elliptic approach to Reid's fantasy

Abelian Orbifolds for Brane Brick Models

Beyond Algebraic Solutions to Stringy Spacetime

Receipt and verification

First computed	2026-07-04T15:08:01.607657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3005fb6dc036e8b83889be7d40c4bc3be44596e6c56a3a7f825e2e4ff5b90d2

Aliases

arxiv: alg-geom/9310003 · arxiv_version: alg-geom/9310003v1 · doi: 10.48550/arxiv.alg-geom/9310003 · pith_short_12: WMAF7NW4ANXI · pith_short_16: WMAF7NW4ANXIXA4I · pith_short_8: WMAF7NW4

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/WMAF7NW4ANXIXA4ITPT5IDCLYO \
  | 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: b3005fb6dc036e8b83889be7d40c4bc3be44596e6c56a3a7f825e2e4ff5b90d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "515e5e8f1ae4df100aa5c1b4ccc047e1c321d25d8bb73e00374f57ecaf553774",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1993-10-05T21:22:35Z",
    "title_canon_sha256": "894edd898b5e24c2140dad9f2825c6d7fb7183bfc9a99e46e33943462fd9cd01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9310003",
    "kind": "arxiv",
    "version": 1
  }
}