Pith Number

pith:JH2APPU6

pith:2010:JH2APPU63OC52WZL3GXEYCT7LI

not attested not anchored not stored refs pending

Matrix factorizations from SYZ transformations

Kwokwai Chan, Naichung Conan Leung

arxiv:1006.3832 v1 · 2010-06-19 · math.SG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JH2APPU63OC52WZL3GXEYCT7LI}

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	2026-05-18T03:35:14.498919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49f407be9edb85dd5b2bd9ae4c0a7f5a0bdfe0c7d78c662b57f7b2ba60eebc9a

Aliases

arxiv: 1006.3832 · arxiv_version: 1006.3832v1 · doi: 10.48550/arxiv.1006.3832 · pith_short_12: JH2APPU63OC5 · pith_short_16: JH2APPU63OC52WZL · pith_short_8: JH2APPU6

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/JH2APPU63OC52WZL3GXEYCT7LI \
  | 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: 49f407be9edb85dd5b2bd9ae4c0a7f5a0bdfe0c7d78c662b57f7b2ba60eebc9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baa52efe684e278ddeb77b0da12e064249b5a1ca0fc4dac4f551e588d0dcbc9b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-06-19T02:46:25Z",
    "title_canon_sha256": "b507c4b6003eee63d57baafabe30ef054dc226109a01b6fec666d10fcf3fb001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3832",
    "kind": "arxiv",
    "version": 1
  }
}