Pith Number

pith:KJ4RO5EB

pith:2020:KJ4RO5EBYE55JO7UPKLLSJNLIV

not attested not anchored not stored refs pending

Vafa-Witten invariants from modular anomaly

Sergei Alexandrov

arxiv:2005.03680 v4 · 2020-05-07 · hep-th · math-ph · math.AG · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJ4RO5EBYE55JO7UPKLLSJNLIV}

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

1 paper in Pith

Black Hole Quantum Mechanics and Generalized Error Functions

Receipt and verification

First computed	2026-07-05T11:35:08.825922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5279177481c13bd4bbf47a96b925ab456b8708c91300043ea75525873af2d4af

Aliases

arxiv: 2005.03680 · arxiv_version: 2005.03680v4 · doi: 10.48550/arxiv.2005.03680 · pith_short_12: KJ4RO5EBYE55 · pith_short_16: KJ4RO5EBYE55JO7U · pith_short_8: KJ4RO5EB

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/KJ4RO5EBYE55JO7UPKLLSJNLIV \
  | 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: 5279177481c13bd4bbf47a96b925ab456b8708c91300043ea75525873af2d4af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0088d409334844a1ad2e6a2593282d34153115a7b88413df2680165197acf430",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-05-07T18:00:58Z",
    "title_canon_sha256": "284b9a6ff6271be841d2de91a39d86bae6ee00ca9f75d7a56cd34eebc4662872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.03680",
    "kind": "arxiv",
    "version": 4
  }
}