Pith Number

pith:AUHKRPM7

pith:2008:AUHKRPM733ZWW3WW2PJXNBKFT3

not attested not anchored not stored refs pending

On SYZ mirror transformations

Kwokwai Chan, Naichung Conan Leung

arxiv:0808.1551 v2 · 2008-08-11 · 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{AUHKRPM733ZWW3WW2PJXNBKFT3}

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	2026-05-18T04:38:58.383417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

050ea8bd9fdef36b6ed6d3d37685459ed5d3e2f071c038159d5e23d7e233737c

Aliases

arxiv: 0808.1551 · arxiv_version: 0808.1551v2 · doi: 10.48550/arxiv.0808.1551 · pith_short_12: AUHKRPM733ZW · pith_short_16: AUHKRPM733ZWW3WW · pith_short_8: AUHKRPM7

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/AUHKRPM733ZWW3WW2PJXNBKFT3 \
  | 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: 050ea8bd9fdef36b6ed6d3d37685459ed5d3e2f071c038159d5e23d7e233737c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62687aeb05b22abde6bd9404a5d1bb723664a75f676d0e94beb5611d9aafe608",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-08-11T18:10:02Z",
    "title_canon_sha256": "45f55e8495f39f9f584e783b3d321218c7c755446211c1051c0f72be47ac7fd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1551",
    "kind": "arxiv",
    "version": 2
  }
}