Pith Number

pith:QS73DZKS

pith:2026:QS73DZKSDPKYFP2KGRVEQEWDZS

not attested not anchored not stored refs pending

Refined Vafa-Witten invariants for toric surfaces from supersymmetric localization in 5D gauge theory

Alessandro Tanzini, Boris Pioline, Osama Khlaif

arxiv:2607.18410 v1 · 2026-07-20 · hep-th · math.AG · 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{QS73DZKSDPKYFP2KGRVEQEWDZS}

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	2026-07-22T00:22:46.879290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84bfb1e5521bd582bf4a346a4812c3cc9bcf8cef773c8f80a0a49450a1def143

Aliases

arxiv: 2607.18410 · arxiv_version: 2607.18410v1 · doi: 10.48550/arxiv.2607.18410 · pith_short_12: QS73DZKSDPKY · pith_short_16: QS73DZKSDPKYFP2K · pith_short_8: QS73DZKS

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/QS73DZKSDPKYFP2KGRVEQEWDZS \
  | 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: 84bfb1e5521bd582bf4a346a4812c3cc9bcf8cef773c8f80a0a49450a1def143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "870ebaf2abdd5eefa44c4febe82190f1f1f7561754b959c380a418eaa1a0206e",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-20T18:01:26Z",
    "title_canon_sha256": "0a81413bf648bc76d40ebded3556dfbdd6ec725911fee826d116c07b031116ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18410",
    "kind": "arxiv",
    "version": 1
  }
}