Pith Number

pith:WLDB7GSP

pith:2022:WLDB7GSPIGVYD5LT5HFCWUUVW5

not attested not anchored not stored refs pending

The Blowup Formula for the Instanton Part of Vafa-Witten Invariants on Projective Surfaces

Nikolas Kuhn, Oliver Leigh, Yuuji Tanaka

arxiv:2205.12953 v2 · 2022-05-25 · 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{WLDB7GSPIGVYD5LT5HFCWUUVW5}

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

Lagrangian correspondences of nonabelian Hodge type and shifted twistor structures

Receipt and verification

First computed	2026-07-05T11:14:44.799953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2c61f9a4f41ab81f573e9ca2b5295b77ae4a6030dc52ef7ae73e1e53f791ce8

Aliases

arxiv: 2205.12953 · arxiv_version: 2205.12953v2 · doi: 10.48550/arxiv.2205.12953 · pith_short_12: WLDB7GSPIGVY · pith_short_16: WLDB7GSPIGVYD5LT · pith_short_8: WLDB7GSP

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/WLDB7GSPIGVYD5LT5HFCWUUVW5 \
  | 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: b2c61f9a4f41ab81f573e9ca2b5295b77ae4a6030dc52ef7ae73e1e53f791ce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e5bc5da76169ea12ce29a31beae8ec7ed7b43ce66bc018c516a4b4474456a9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-05-25T17:58:34Z",
    "title_canon_sha256": "307128015c065ebc855aa7665a9e64654f37db6775c2a8ae7e14f53702d6b38f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.12953",
    "kind": "arxiv",
    "version": 2
  }
}