Pith Number

pith:GBIBA2PR

pith:2017:GBIBA2PRXJPHIFQWPECPQXWLQR

not attested not anchored not stored refs pending

Localized Donaldson-Thomas theory of surfaces

Amin Gholampour, Artan Sheshmani, Shing-Tung Yau

arxiv:1701.08902 v2 · 2017-01-31 · 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{GBIBA2PRXJPHIFQWPECPQXWLQR}

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

Mock modularity of Calabi-Yau threefolds

Receipt and verification

First computed	2026-07-05T00:54:21.853276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30501069f1ba5e7416167904f85ecb846c7b887ad8a4e93527231164f1955ca1

Aliases

arxiv: 1701.08902 · arxiv_version: 1701.08902v2 · doi: 10.48550/arxiv.1701.08902 · pith_short_12: GBIBA2PRXJPH · pith_short_16: GBIBA2PRXJPHIFQW · pith_short_8: GBIBA2PR

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/GBIBA2PRXJPHIFQWPECPQXWLQR \
  | 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: 30501069f1ba5e7416167904f85ecb846c7b887ad8a4e93527231164f1955ca1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b6dc4251ef6888ac2663fbffda33114541f9b02d962f7c4008c7ffe6a9cde99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-31T02:55:02Z",
    "title_canon_sha256": "a084c04ab8c016d4c88626c049cc2c84b3c4fc5ecb476c54b3de043209005250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08902",
    "kind": "arxiv",
    "version": 2
  }
}