Pith Number

pith:XHS2TBZ5

pith:2017:XHS2TBZ5D2E3OMCWYA3A5PXUBC

not attested not anchored not stored refs pending

Vafa-Witten theory and iterated integrals of modular forms

Jan Manschot

arxiv:1709.10098 v2 · 2017-09-28 · hep-th · math.AG · 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{XHS2TBZ5D2E3OMCWYA3A5PXUBC}

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	2026-05-17T23:47:52.931164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9e5a9873d1e89b73056c0360ebef40880552111bb88d7db72c752077476d59a

Aliases

arxiv: 1709.10098 · arxiv_version: 1709.10098v2 · doi: 10.48550/arxiv.1709.10098 · pith_short_12: XHS2TBZ5D2E3 · pith_short_16: XHS2TBZ5D2E3OMCW · pith_short_8: XHS2TBZ5

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/XHS2TBZ5D2E3OMCWYA3A5PXUBC \
  | 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: b9e5a9873d1e89b73056c0360ebef40880552111bb88d7db72c752077476d59a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b963e774fcf104caf74b1ebc27230c6f999484af0c1a4085afc436b60fbb690f",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-09-28T17:59:35Z",
    "title_canon_sha256": "a011f8180c00763c44b01e1cd0fee870cb8ee9cab848b415ef1159c9a303dce1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10098",
    "kind": "arxiv",
    "version": 2
  }
}