Pith Number

pith:X54MZSM6

pith:2012:X54MZSM6UHTTTF2E3WOQ52KBV2

not attested not anchored not stored refs pending

On the Crepant Resolution Conjecture for Donaldson-Thomas Invariants

John Calabrese

arxiv:1206.6524 v4 · 2012-06-27 · 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{X54MZSM6UHTTTF2E3WOQ52KBV2}

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	2026-05-18T02:31:27.699719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf78ccc99ea1e7399744dd9d0ee941aebd273767c9ed3021aa1bb2b3807a5202

Aliases

arxiv: 1206.6524 · arxiv_version: 1206.6524v4 · doi: 10.48550/arxiv.1206.6524 · pith_short_12: X54MZSM6UHTT · pith_short_16: X54MZSM6UHTTTF2E · pith_short_8: X54MZSM6

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/X54MZSM6UHTTTF2E3WOQ52KBV2 \
  | 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: bf78ccc99ea1e7399744dd9d0ee941aebd273767c9ed3021aa1bb2b3807a5202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "003de125fbff88595e067e2cbab49d8c9adff56b03bc76768893b187d68c4a00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-27T20:58:55Z",
    "title_canon_sha256": "8cd8afa32e197075dfe5d32f1cdba31797201f55c4fce4b3661453aa9841674a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6524",
    "kind": "arxiv",
    "version": 4
  }
}