Pith Number

pith:VWYDS3CC

pith:2008:VWYDS3CCMB2MLS3C3UEDE2W3G4

not attested not anchored not stored refs pending

Perverse coherent sheaves on blow-up. I. a quiver description

Hiraku Nakajima, Kota Yoshioka

arxiv:0802.3120 v2 · 2008-02-21 · math.AG · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VWYDS3CCMB2MLS3C3UEDE2W3G4}

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	2026-07-04T15:11:55.291100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adb0396c426074c5cb62dd08326adb37061c145081c076d99a4bbec18065d945

Aliases

arxiv: 0802.3120 · arxiv_version: 0802.3120v2 · doi: 10.48550/arxiv.0802.3120 · pith_short_12: VWYDS3CCMB2M · pith_short_16: VWYDS3CCMB2MLS3C · pith_short_8: VWYDS3CC

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/VWYDS3CCMB2MLS3C3UEDE2W3G4 \
  | 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: adb0396c426074c5cb62dd08326adb37061c145081c076d99a4bbec18065d945

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce7af5b57e6c124195ab009e0894b3c58a8ffcd26663c61c64c980b7f95c5f65",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-02-21T14:30:10Z",
    "title_canon_sha256": "c96106eaaf759c16bae09065d7e8cc5669a6c8bdd35f29acefc635ec13687aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3120",
    "kind": "arxiv",
    "version": 2
  }
}