Pith Number

pith:NB3XMVII

pith:2006:NB3XMVIIXBM7BMPK4R3GBBODAT

not attested not anchored not stored refs pending

Instanton counting and Donaldson invariants

Hiraku Nakajima, Kota Yoshioka, Lothar G\"ottsche

arxiv:math/0606180 v2 · 2006-06-08 · math.AG · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NB3XMVIIXBM7BMPK4R3GBBODAT}

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	2026-07-04T14:55:29.501950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6877765508b859f0b1eae4766085c304dbcbb430df1f7cf194e61933333ae59f

Aliases

arxiv: math/0606180 · arxiv_version: math/0606180v2 · doi: 10.48550/arxiv.math/0606180 · pith_short_12: NB3XMVIIXBM7 · pith_short_16: NB3XMVIIXBM7BMPK · pith_short_8: NB3XMVII

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/NB3XMVIIXBM7BMPK4R3GBBODAT \
  | 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: 6877765508b859f0b1eae4766085c304dbcbb430df1f7cf194e61933333ae59f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1e5d085f4f8aeb08f818a5f946bd44277d45bfdd169c1bb1c92b3f5cf3fe389",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-06-08T09:43:16Z",
    "title_canon_sha256": "bbec844e66e70ccd5fca0ef128e14a93daea024169cee279c1efad122a96af5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606180",
    "kind": "arxiv",
    "version": 2
  }
}