Pith Number

pith:HWNRVO4Y

pith:2011:HWNRVO4Y7NDBSMALJUPI4H67C7

not attested not anchored not stored refs pending

A-polynomial, B-model, and Quantization

Piotr Su{\l}kowski, Sergei Gukov

arxiv:1108.0002 v2 · 2011-07-29 · hep-th · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWNRVO4Y7NDBSMALJUPI4H67C7}

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

Les Houches Lectures on Exact WKB Analysis and Painlev\'e Equations

Receipt and verification

First computed	2026-05-18T03:53:52.392018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d9b1abb98fb4619300b4d1e8e1fdf17dea032c377640359c11ba508e9151748

Aliases

arxiv: 1108.0002 · arxiv_version: 1108.0002v2 · doi: 10.48550/arxiv.1108.0002 · pith_short_12: HWNRVO4Y7NDB · pith_short_16: HWNRVO4Y7NDBSMAL · pith_short_8: HWNRVO4Y

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/HWNRVO4Y7NDBSMALJUPI4H67C7 \
  | 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: 3d9b1abb98fb4619300b4d1e8e1fdf17dea032c377640359c11ba508e9151748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "788835c61e01562a287f1e8039d36c18b7dc74e6f738b2fa3f43f9d5e82dbf0b",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-07-29T20:00:04Z",
    "title_canon_sha256": "bc228fd6aa0d625c1a36dbb4218af5e6ed49c7f5e2fe2489e06548fcc3bf4bcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0002",
    "kind": "arxiv",
    "version": 2
  }
}