Pith Number

pith:QNKNCODX

pith:2017:QNKNCODXDL6KZI7B3FYAUVSLFZ

not attested not anchored not stored refs pending

Moduli Space in Homological Mirror Symmetry

Matsuo Sato

arxiv:1708.09181 v2 · 2017-08-30 · hep-th · math.AG · math.AT · math.DG · 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{QNKNCODXDL6KZI7B3FYAUVSLFZ}

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	2026-05-17T23:47:03.770528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8354d138771afcaca3e1d9700a564b2e50581255cb6ca25c327b9bc21e803e66

Aliases

arxiv: 1708.09181 · arxiv_version: 1708.09181v2 · doi: 10.48550/arxiv.1708.09181 · pith_short_12: QNKNCODXDL6K · pith_short_16: QNKNCODXDL6KZI7B · pith_short_8: QNKNCODX

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/QNKNCODXDL6KZI7B3FYAUVSLFZ \
  | 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: 8354d138771afcaca3e1d9700a564b2e50581255cb6ca25c327b9bc21e803e66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc761fa524d36b7d4b0ec24caa2b8895368e85b3e4136ed2f170b2cd4322c54c",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-08-30T09:09:47Z",
    "title_canon_sha256": "c55f6f552c231569c9bfb919504753ba14a2918fccfb6aa65eb2198c0127302f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09181",
    "kind": "arxiv",
    "version": 2
  }
}