Pith Number

pith:2KESAMGJ

pith:2011:2KESAMGJ6LTF4P3LZYIGBLTUIB

not attested not anchored not stored refs pending

Invariance of Quantum Rings under Ordinary Flops I: Quantum corrections and reduction to local models

Chin-Lung Wang, Hui-Wen Lin, Yuan-Pin Lee

arxiv:1109.5540 v4 · 2011-09-26 · math.AG · math-ph · math.MP · 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{2KESAMGJ6LTF4P3LZYIGBLTUIB}

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	2026-05-18T01:20:50.909041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2892030c9f2e65e3f6bce1060ae744057540c20c0ba4fb38e81ff36416f05d5

Aliases

arxiv: 1109.5540 · arxiv_version: 1109.5540v4 · doi: 10.48550/arxiv.1109.5540 · pith_short_12: 2KESAMGJ6LTF · pith_short_16: 2KESAMGJ6LTF4P3L · pith_short_8: 2KESAMGJ

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/2KESAMGJ6LTF4P3LZYIGBLTUIB \
  | 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: d2892030c9f2e65e3f6bce1060ae744057540c20c0ba4fb38e81ff36416f05d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b1803995761cb901320ca3c8bea172c93078aa29f3830f1da2f837963a899d5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-26T12:27:28Z",
    "title_canon_sha256": "b8888013025d7bd064f25c0af58aa49e9b23738d54feb068b269ca34fbae4619"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5540",
    "kind": "arxiv",
    "version": 4
  }
}