Pith Number

pith:X27KSYVZ

pith:2003:X27KSYVZNBQX6L2K3FIKA3RFDU

not attested not anchored not stored refs pending

Lectures on Instanton Counting

Hiraku Nakajima, Kota Yoshioka

arxiv:math/0311058 v1 · 2003-11-05 · 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{X27KSYVZNBQX6L2K3FIKA3RFDU}

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.

Cited by

2 papers in Pith

Defects, nested instantons and comet shaped quivers

Wall-crossing of Instantons on the Blow-up

Receipt and verification

First computed	2026-07-04T14:37:57.796613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bebea962b968617f2f4ad950a06e251d1a508fbd29e80fd76b9d3c6ad5e2cf7e

Aliases

arxiv: math/0311058 · arxiv_version: math/0311058v1 · doi: 10.48550/arxiv.math/0311058 · pith_short_12: X27KSYVZNBQX · pith_short_16: X27KSYVZNBQX6L2K · pith_short_8: X27KSYVZ

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/X27KSYVZNBQX6L2K3FIKA3RFDU \
  | 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: bebea962b968617f2f4ad950a06e251d1a508fbd29e80fd76b9d3c6ad5e2cf7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13b9e45dd455303bdef8d37c1678fd10b17693435489bd7c4f59dc481f6ab50c",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-11-05T09:34:17Z",
    "title_canon_sha256": "a529a9cfefc9db135a0ea87138770f0a3bd687b511f17457f9bdf68fec79db80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311058",
    "kind": "arxiv",
    "version": 1
  }
}