Pith Number

pith:5D3Z6CXY

pith:2009:5D3Z6CXY5W6RHVPQ6EHF7YYX33

not attested not anchored not stored refs pending

Motivic degree zero Donaldson-Thomas invariants

Balazs Szendroi, Jim Bryan, Kai Behrend

arxiv:0909.5088 v2 · 2009-09-28 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5D3Z6CXY5W6RHVPQ6EHF7YYX33}

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	2026-05-18T04:41:44.086364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8f79f0af8edbd13d5f0f10e5fe317def9bce8298be8e419983a44c2d57364e2

Aliases

arxiv: 0909.5088 · arxiv_version: 0909.5088v2 · doi: 10.48550/arxiv.0909.5088 · pith_short_12: 5D3Z6CXY5W6R · pith_short_16: 5D3Z6CXY5W6RHVPQ · pith_short_8: 5D3Z6CXY

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/5D3Z6CXY5W6RHVPQ6EHF7YYX33 \
  | 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: e8f79f0af8edbd13d5f0f10e5fe317def9bce8298be8e419983a44c2d57364e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bda293ca8e1e84da00a5800146b9737cde01458c115f54ca25a7a2a3d89568c",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-28T13:23:50Z",
    "title_canon_sha256": "47d5531290397b2bebd4f7031cb60c676fa3efc39e56f70c9a881f2a0a9271b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5088",
    "kind": "arxiv",
    "version": 2
  }
}