Pith Number

pith:CY23763A

pith:2013:CY23763A35TDFJ6WSIQXGRCLJ7

not attested not anchored not stored refs pending

A Landau--Ginzburg mirror theorem without concavity

J\'er\'emy Gu\'er\'e

arxiv:1307.5070 v4 · 2013-07-18 · 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{CY23763A35TDFJ6WSIQXGRCLJ7}

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	2026-05-18T00:50:23.743918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1635bffb60df6632a7d6922173444b4fe174bc728f6f5c073906f61124b468d7

Aliases

arxiv: 1307.5070 · arxiv_version: 1307.5070v4 · doi: 10.48550/arxiv.1307.5070 · pith_short_12: CY23763A35TD · pith_short_16: CY23763A35TDFJ6W · pith_short_8: CY23763A

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/CY23763A35TDFJ6WSIQXGRCLJ7 \
  | 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: 1635bffb60df6632a7d6922173444b4fe174bc728f6f5c073906f61124b468d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89d3c65fb5ea2d3f352714243cc9f209c3220d4d43afa91b2087c9591dfee5d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-18T20:07:07Z",
    "title_canon_sha256": "e6ae3d5a3b4be80f3da0263d966d3909e1fc9676b2cc68d89b7b89e6be2f6929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5070",
    "kind": "arxiv",
    "version": 4
  }
}