Pith Number

pith:KASLZLR3

pith:2018:KASLZLR3RIOVWHYUE27C6Q2REE

not attested not anchored not stored refs pending

Fukaya categories of two-tori revisited

Hiroshige Kajiura

arxiv:1811.12665 v1 · 2018-11-30 · math.QA · hep-th · 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{KASLZLR3RIOVWHYUE27C6Q2REE}

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	2026-05-17T23:59:28.882147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5024bcae3b8a1d5b1f1426be2f43512114ff71dafc3fb37e6483b1575f249554

Aliases

arxiv: 1811.12665 · arxiv_version: 1811.12665v1 · doi: 10.48550/arxiv.1811.12665 · pith_short_12: KASLZLR3RIOV · pith_short_16: KASLZLR3RIOVWHYU · pith_short_8: KASLZLR3

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/KASLZLR3RIOVWHYUE27C6Q2REE \
  | 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: 5024bcae3b8a1d5b1f1426be2f43512114ff71dafc3fb37e6483b1575f249554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a65c903fc7ad2f1a11471a92b09864ad7489b0bd381ebe521ab950a22f71892",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-11-30T08:15:19Z",
    "title_canon_sha256": "6e35ec653eb2f50241f3bef6eb414c7f9af612a211cf9d41d50f1ae067ecffba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12665",
    "kind": "arxiv",
    "version": 1
  }
}