Pith Number

pith:6PHLXSEH

pith:2022:6PHLXSEHWAVHMOBM4OJQNWVBA2

not attested not anchored not stored refs pending

Quantum Curves, Resurgence and Exact WKB

Iv\'an Tulli, Lotte Hollands, Murad Alim

arxiv:2203.08249 v3 · 2022-03-15 · hep-th · math-ph · math.AG · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PHLXSEHWAVHMOBM4OJQNWVBA2}

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

3 papers in Pith

Modular resurgence of topological string

Non-perturbative topological strings from resurgence

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

Receipt and verification

First computed	2026-07-05T05:47:57.947655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3cebbc887b02a76382ce39306daa106b6cfad95b589e17580421713fed5eeae

Aliases

arxiv: 2203.08249 · arxiv_version: 2203.08249v3 · doi: 10.48550/arxiv.2203.08249 · pith_short_12: 6PHLXSEHWAVH · pith_short_16: 6PHLXSEHWAVHMOBM · pith_short_8: 6PHLXSEH

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/6PHLXSEHWAVHMOBM4OJQNWVBA2 \
  | 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: f3cebbc887b02a76382ce39306daa106b6cfad95b589e17580421713fed5eeae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c51125bbc49c19b1be35ee58d151ce1a8cf8cd117ee9369de41d42b18e751da",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.DG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-03-15T20:52:40Z",
    "title_canon_sha256": "a416e83dc94f34d79f0de0313386f3b191f073a560cc78bd4f3bd85fa814da01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.08249",
    "kind": "arxiv",
    "version": 3
  }
}