Pith Number

pith:5OUVTOK2

pith:2007:5OUVTOK2NSTCKXXC4DOFG2BPIZ

not attested not anchored not stored refs pending

Homological mirror symmetry for toric orbifolds of toric del Pezzo surfaces

Kazushi Ueda, Masahito Yamazaki

arxiv:math/0703267 v3 · 2007-03-09 · math.AG · hep-th · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OUVTOK2NSTCKXXC4DOFG2BPIZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:19:22.809033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eba959b95a6ca6255ee2e0dc53682f46585580f9fdf5d2979dff8a9a59527199

Aliases

arxiv: math/0703267 · arxiv_version: math/0703267v3 · doi: 10.48550/arxiv.math/0703267 · pith_short_12: 5OUVTOK2NSTC · pith_short_16: 5OUVTOK2NSTCKXXC · pith_short_8: 5OUVTOK2

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/5OUVTOK2NSTCKXXC4DOFG2BPIZ \
  | 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: eba959b95a6ca6255ee2e0dc53682f46585580f9fdf5d2979dff8a9a59527199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37a1bad595d45d8a330f1045f8b6767daf5ec62d264b917d9871392076f27be3",
    "cross_cats_sorted": [
      "hep-th",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-03-09T14:53:27Z",
    "title_canon_sha256": "3ff2c5b2422d90ea5a790c929418d5bf6037a5a762582d9414d59b772e537ac5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703267",
    "kind": "arxiv",
    "version": 3
  }
}