Pith Number

pith:PTYC7WMV

pith:2016:PTYC7WMV4XUMNLPQFEVCUU2YP6

not attested not anchored not stored refs pending

The SYZ mirror symmetry and the BKMP remodeling conjecture

Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong

arxiv:1607.06935 v1 · 2016-07-23 · 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{PTYC7WMV4XUMNLPQFEVCUU2YP6}

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	2026-05-18T00:43:09.279207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cf02fd995e5e8c6adf0292a2a53587fb56a6213df9b946ef1f7074531d55a5d

Aliases

arxiv: 1607.06935 · arxiv_version: 1607.06935v1 · doi: 10.48550/arxiv.1607.06935 · pith_short_12: PTYC7WMV4XUM · pith_short_16: PTYC7WMV4XUMNLPQ · pith_short_8: PTYC7WMV

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/PTYC7WMV4XUMNLPQFEVCUU2YP6 \
  | 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: 7cf02fd995e5e8c6adf0292a2a53587fb56a6213df9b946ef1f7074531d55a5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ac93ac705a2bbda3c66e71672e9a40e9a352a7ae666186f9ac9038c3963e122",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-23T13:37:34Z",
    "title_canon_sha256": "c1f4333bec31c08cc6b73b0ff62c0ec571b7400941d0f1ed7f8c1a2f05015b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06935",
    "kind": "arxiv",
    "version": 1
  }
}