Pith Number

pith:PBWUYS4Z

pith:2020:PBWUYS4ZPABB4P25AGDQGYAYLQ

not attested not anchored not stored refs pending

Rank $N$ Vafa-Witten invariants, modularity and blow-up

Sergei Alexandrov

arxiv:2006.10074 v1 · 2020-06-17 · 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{PBWUYS4ZPABB4P25AGDQGYAYLQ}

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	2026-07-05T11:35:08.842707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

786d4c4b9978021e3f5d01870360185c20d7e8b1b1dbbc11432c42a6719bb4d5

Aliases

arxiv: 2006.10074 · arxiv_version: 2006.10074v1 · doi: 10.48550/arxiv.2006.10074 · pith_short_12: PBWUYS4ZPABB · pith_short_16: PBWUYS4ZPABB4P25 · pith_short_8: PBWUYS4Z

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/PBWUYS4ZPABB4P25AGDQGYAYLQ \
  | 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: 786d4c4b9978021e3f5d01870360185c20d7e8b1b1dbbc11432c42a6719bb4d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f00a982b4907208ba9e5e56c080ac5fdfd1cfeed1046f8d119a942ab2094c979",
    "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": "2020-06-17T18:00:29Z",
    "title_canon_sha256": "94e3326f46b5efa9b9ff79ec015889bafb2b7281e8ba4a8b0748974a1795c4a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.10074",
    "kind": "arxiv",
    "version": 1
  }
}