Pith Number

pith:4QTIFE4C

pith:2023:4QTIFE4CODKW7VFLKYA2RDDFS4

not attested not anchored not stored refs pending

Homological mirror symmetry of toric Fano surfaces via Morse homotopy

Hayato Nakanishi

arxiv:2303.07851 v3 · 2023-03-14 · math.DG · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QTIFE4CODKW7VFLKYA2RDDFS4}

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.

Cited by

1 paper in Pith

SYZ mirror of Hirzebruch surface $\mathbb{F}_k$ and Morse homotopy

Receipt and verification

First computed	2026-05-25T02:01:00.055953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e42682938270d56fd4ab5601a88c6597246412b1caf8da89d50bb12bb2b04acb

Aliases

arxiv: 2303.07851 · arxiv_version: 2303.07851v3 · doi: 10.48550/arxiv.2303.07851 · pith_short_12: 4QTIFE4CODKW · pith_short_16: 4QTIFE4CODKW7VFL · pith_short_8: 4QTIFE4C

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/4QTIFE4CODKW7VFLKYA2RDDFS4 \
  | 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: e42682938270d56fd4ab5601a88c6597246412b1caf8da89d50bb12bb2b04acb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8637f874eaabeb29d3920984083caada59471b2596157868bdb9f987e5c8ea7",
    "cross_cats_sorted": [
      "math.AG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-03-14T12:46:42Z",
    "title_canon_sha256": "a14c95930e35742dc7ba34cb5d1a59399606bbcb9713df42044cfc52bb02156c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.07851",
    "kind": "arxiv",
    "version": 3
  }
}