Pith Number

pith:OMAAG32C

pith:2013:OMAAG32CC42NZ5RKCYSCJ5A4EG

not attested not anchored not stored refs pending

Invariance of Quantum Rings under Ordinary Flops II: A quantum Leray--Hirsch theorem

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

arxiv:1311.5725 v2 · 2013-11-22 · 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{OMAAG32CC42NZ5RKCYSCJ5A4EG}

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	2026-05-18T01:20:50.772258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7300036f421734dcf62a162424f41c21abcd2648c32f91e853dfd60dad207c9f

Aliases

arxiv: 1311.5725 · arxiv_version: 1311.5725v2 · doi: 10.48550/arxiv.1311.5725 · pith_short_12: OMAAG32CC42N · pith_short_16: OMAAG32CC42NZ5RK · pith_short_8: OMAAG32C

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/OMAAG32CC42NZ5RKCYSCJ5A4EG \
  | 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: 7300036f421734dcf62a162424f41c21abcd2648c32f91e853dfd60dad207c9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a02f250a20a3e26b398de8e1068c7386376f969532a453fbc7b11cd07d34d8df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-22T11:54:01Z",
    "title_canon_sha256": "f6c4d1e0f5f38ca4e3fd15e105ea4c24e7641dc0fd936b6078465feb13835ee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5725",
    "kind": "arxiv",
    "version": 2
  }
}