Pith Number

pith:OFMQLUKW

pith:2015:OFMQLUKWW2PVC3ZQZTXWXDSZZW

not attested not anchored not stored refs pending

Relative Orbifold Donaldson-Thomas Theory and the Degeneration Formula

Zijun Zhou

arxiv:1504.02303 v3 · 2015-04-09 · 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{OFMQLUKWW2PVC3ZQZTXWXDSZZW}

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.

Cited by

1 paper in Pith

Moduli stacks of Higgs bundles on stable curves

Receipt and verification

First computed	2026-05-18T00:35:49.174730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

715905d156b69f516f30ccef6b8e59cd9c3efc3368aca264483d5a3444c7e840

Aliases

arxiv: 1504.02303 · arxiv_version: 1504.02303v3 · doi: 10.48550/arxiv.1504.02303 · pith_short_12: OFMQLUKWW2PV · pith_short_16: OFMQLUKWW2PVC3ZQ · pith_short_8: OFMQLUKW

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/OFMQLUKWW2PVC3ZQZTXWXDSZZW \
  | 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: 715905d156b69f516f30ccef6b8e59cd9c3efc3368aca264483d5a3444c7e840

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ea369efad4955e4070f325b8494aba98a4ff6cec26a510eedf8758337e588ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-09T13:27:07Z",
    "title_canon_sha256": "02743661c5e00dadb08f8d27ba8e91587a9644f49c4ae512fffc6e50b1cfbc48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02303",
    "kind": "arxiv",
    "version": 3
  }
}