Pith Number

pith:KUYVDZCA

pith:2015:KUYVDZCANYWPMJLDXBXWW2GP2P

not attested not anchored not stored refs pending

Cohomological Hall algebras, semicanonical bases and Donaldson-Thomas invariants for $2$-dimensional Calabi-Yau categories (with an appendix by Ben Davison)

Jie Ren, Yan Soibelman

arxiv:1508.06068 v4 · 2015-08-25 · math.QA · hep-th · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KUYVDZCANYWPMJLDXBXWW2GP2P}

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	2026-05-18T01:11:03.466875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

553151e4406e2cf62563b86f6b68cfd3c56b00358e182b053ec2a975fd1432dc

Aliases

arxiv: 1508.06068 · arxiv_version: 1508.06068v4 · doi: 10.48550/arxiv.1508.06068 · pith_short_12: KUYVDZCANYWP · pith_short_16: KUYVDZCANYWPMJLD · pith_short_8: KUYVDZCA

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/KUYVDZCANYWPMJLDXBXWW2GP2P \
  | 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: 553151e4406e2cf62563b86f6b68cfd3c56b00358e182b053ec2a975fd1432dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f25bb2ba7705fa5b0b8e79ccf8a6b43f7ec05745c0d837872e6f27ed8ff3740d",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-08-25T08:48:25Z",
    "title_canon_sha256": "e9dc3615b6323dee7f698ce5be997e03ca6aea3d20cf08cc2f52342aba583c4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06068",
    "kind": "arxiv",
    "version": 4
  }
}