Pith Number

pith:AKAJUMOG

pith:2010:AKAJUMOGCYUT7CC75HAB4HVQUK

not attested not anchored not stored refs pending

Donaldson = Seiberg-Witten from Mochizuki's formula and instanton counting

Hiraku Nakajima, Kota Yoshioka, Lothar G\"ottsche

arxiv:1001.5024 v1 · 2010-01-27 · math.DG · hep-th · 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{AKAJUMOGCYUT7CC75HAB4HVQUK}

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	2026-05-18T04:16:23.086178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02809a31c616293f885fe9c01e1eb0a2b343a893d3babcad0b9b7d0ad36b0e5d

Aliases

arxiv: 1001.5024 · arxiv_version: 1001.5024v1 · doi: 10.48550/arxiv.1001.5024 · pith_short_12: AKAJUMOGCYUT · pith_short_16: AKAJUMOGCYUT7CC7 · pith_short_8: AKAJUMOG

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/AKAJUMOGCYUT7CC75HAB4HVQUK \
  | 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: 02809a31c616293f885fe9c01e1eb0a2b343a893d3babcad0b9b7d0ad36b0e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d7795e50853c9e6f730c95f72ce351ad49be84ad750a7727882d59264afec6d",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-01-27T21:06:41Z",
    "title_canon_sha256": "413221f91f8c7b33e1c9ffb26ea11d478b9318a5e330cebdff3dec46ca2a4768"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5024",
    "kind": "arxiv",
    "version": 1
  }
}