Pith Number

pith:AC2ZBC3B

pith:2010:AC2ZBC3BAPB3CD5MVUEQHVQ5CG

not attested not anchored not stored refs pending

Some integrality properties in local mirror symmetry

Jian Zhou

arxiv:1005.3243 v3 · 2010-05-18 · math.AG · 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{AC2ZBC3BAPB3CD5MVUEQHVQ5CG}

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	2026-05-18T04:42:13.539897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00b5908b6103c3b10facad0903d61d11a8ce10e4105ee376f31467388236e90c

Aliases

arxiv: 1005.3243 · arxiv_version: 1005.3243v3 · doi: 10.48550/arxiv.1005.3243 · pith_short_12: AC2ZBC3BAPB3 · pith_short_16: AC2ZBC3BAPB3CD5M · pith_short_8: AC2ZBC3B

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/AC2ZBC3BAPB3CD5MVUEQHVQ5CG \
  | 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: 00b5908b6103c3b10facad0903d61d11a8ce10e4105ee376f31467388236e90c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eedad8ed3a65be1804ad2e59eed22637e450d6fe0c9fce03e34311853dc97f4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-18T16:19:20Z",
    "title_canon_sha256": "4653b8ce55f61bc56a88e6cdcd5ae6bcf42e1ac2a7ce2d5129aa713d4c8e6d89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3243",
    "kind": "arxiv",
    "version": 3
  }
}