Pith Number

pith:52QD7O32

pith:2014:52QD7O32VPLQE6Z6UDM4U4RONJ

not attested not anchored not stored refs pending

Invariance of quantum rings under ordinary flops: III

C.-L. Wang, F. Qu, H.-W. Lin, Y.-P. Lee

arxiv:1401.7097 v2 · 2014-01-28 · 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{52QD7O32VPLQE6Z6UDM4U4RONJ}

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	2026-05-18T02:55:12.990847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eea03fbb7aabd7027b3ea0d9ca722e6a59875415aff27997c8d8ae2878744254

Aliases

arxiv: 1401.7097 · arxiv_version: 1401.7097v2 · doi: 10.48550/arxiv.1401.7097 · pith_short_12: 52QD7O32VPLQ · pith_short_16: 52QD7O32VPLQE6Z6 · pith_short_8: 52QD7O32

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/52QD7O32VPLQE6Z6UDM4U4RONJ \
  | 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: eea03fbb7aabd7027b3ea0d9ca722e6a59875415aff27997c8d8ae2878744254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9141972fb6aeec045ce2f8446f318a048dca352176ae72a0ddd2c3d6d65a597",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-01-28T07:14:14Z",
    "title_canon_sha256": "1901a34e76bdbc8dd303ddbf0f5ce0cec7c12d57c0c690f63327f8f3cb1dfc48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7097",
    "kind": "arxiv",
    "version": 2
  }
}