Pith Number

pith:B5RCDQY2

pith:2009:B5RCDQY2FNONNXZOXGTBSOEJTU

not attested not anchored not stored refs pending

Refined open non-commutative Donaldson-Thomas invariants for small crepant resolutions

Kentaro Nagao

arxiv:0907.3784 v3 · 2009-07-22 · math.AG · hep-th · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5RCDQY2FNONNXZOXGTBSOEJTU}

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	2026-05-18T04:39:59.579214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f6221c31a2b5cd6df2eb9a61938899d3a7e9afb7d82f83bbf38a1a00ca18838

Aliases

arxiv: 0907.3784 · arxiv_version: 0907.3784v3 · doi: 10.48550/arxiv.0907.3784 · pith_short_12: B5RCDQY2FNON · pith_short_16: B5RCDQY2FNONNXZO · pith_short_8: B5RCDQY2

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/B5RCDQY2FNONNXZOXGTBSOEJTU \
  | 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: 0f6221c31a2b5cd6df2eb9a61938899d3a7e9afb7d82f83bbf38a1a00ca18838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03e90b9144951723d65133ef4c8c00573718c8e03d5b775bd99eb4681e5d54c8",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-22T06:53:20Z",
    "title_canon_sha256": "9d1d0d29a1f7146b9ce409232a8098f83922e52d2d807fe33f7d13cb515320b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3784",
    "kind": "arxiv",
    "version": 3
  }
}