Pith Number

pith:PEREJALF

pith:1996:PEREJALFY47VEZKYIWJ6N2W2YV

not attested not anchored not stored refs pending

Mirror Symmetry and the Web of Landau-Ginzburg String Vacua

Hitoshi Sato

arxiv:hep-th/9612239 v3 · 1996-12-27 · hep-th · 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{PEREJALFY47VEZKYIWJ6N2W2YV}

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	2026-05-18T04:34:10.338739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7922448165c73f5265584593e6eadac57c62d6e5b62447469a542ecb694a4890

Aliases

arxiv: hep-th/9612239 · arxiv_version: hep-th/9612239v3 · doi: 10.48550/arxiv.hep-th/9612239 · pith_short_12: PEREJALFY47V · pith_short_16: PEREJALFY47VEZKY · pith_short_8: PEREJALF

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/PEREJALFY47VEZKYIWJ6N2W2YV \
  | 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: 7922448165c73f5265584593e6eadac57c62d6e5b62447469a542ecb694a4890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be53f6c8ed9f0547dbc61d1c93cd149cc3ee13693d698692da8c9c3adb7f5848",
    "cross_cats_sorted": [
      "alg-geom",
      "math.AG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-12-27T04:05:11Z",
    "title_canon_sha256": "cd1e9b1f9edc55cf5887bd2ea404324431239f8e5c2448a94b8ae83ed739be4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9612239",
    "kind": "arxiv",
    "version": 3
  }
}