Pith Number

pith:642WSPX2

pith:2009:642WSPX22LR6VCHKMEYQN54UAE

not attested not anchored not stored refs pending

Perverse coherent sheaves on blow-up. III. Blow-up formula from wall-crossing

Hiraku Nakajima, Kota Yoshioka

arxiv:0911.1773 v3 · 2009-11-09 · math.AG · math-ph · math.MP

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

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.

Cited by

1 paper in Pith

Wall-crossing of Instantons on the Blow-up

Receipt and verification

First computed	2026-05-18T02:29:30.367024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f735693efad2e3ea88ea613106f79401293f0e71f1c0a05489b02758f5d99a9c

Aliases

arxiv: 0911.1773 · arxiv_version: 0911.1773v3 · doi: 10.48550/arxiv.0911.1773 · pith_short_12: 642WSPX22LR6 · pith_short_16: 642WSPX22LR6VCHK · pith_short_8: 642WSPX2

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/642WSPX22LR6VCHKMEYQN54UAE \
  | 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: f735693efad2e3ea88ea613106f79401293f0e71f1c0a05489b02758f5d99a9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68c15c5246d96d221ac20a0695e3b0c116ba7717ed1e283da6de1921e4016c93",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-11-09T21:13:08Z",
    "title_canon_sha256": "815d0d7d09f11274214d5fb5a5aacecfc81258020dcc34ee32f4110ca7bec629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1773",
    "kind": "arxiv",
    "version": 3
  }
}