Pith Number

pith:NLB4HXFT

pith:2011:NLB4HXFTSDH4RLP7GWYEZZQZMB

not attested not anchored not stored refs pending

Motivic Donaldson-Thomas invariants of toric small crepant resolutions

Andrew Morrison, Kentaro Nagao

arxiv:1110.5976 v1 · 2011-10-27 · 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{NLB4HXFTSDH4RLP7GWYEZZQZMB}

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	2026-05-18T01:22:28.844475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ac3c3dcb390cfc8adff35b04ce619605a82031408197796bd34793e71ec3ef6

Aliases

arxiv: 1110.5976 · arxiv_version: 1110.5976v1 · doi: 10.48550/arxiv.1110.5976 · pith_short_12: NLB4HXFTSDH4 · pith_short_16: NLB4HXFTSDH4RLP7 · pith_short_8: NLB4HXFT

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/NLB4HXFTSDH4RLP7GWYEZZQZMB \
  | 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: 6ac3c3dcb390cfc8adff35b04ce619605a82031408197796bd34793e71ec3ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c1af99bb723b1a21dd77c963149abd0cdb8aac9541075ecb08b69c7033ecf25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-27T03:44:22Z",
    "title_canon_sha256": "08e06020f5fcd3c13575d2715bf4122282275d40b4466beb6e37aa19bb1d668d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5976",
    "kind": "arxiv",
    "version": 1
  }
}