Pith Number

pith:RZG3W24Q

pith:2019:RZG3W24QDWJWDMUL42TIXNP6IO

not attested not anchored not stored refs pending

From topological recursion to wave functions and PDEs quantizing hyperelliptic curves

Bertrand Eynard, Elba Garcia-Failde

arxiv:1911.07795 v3 · 2019-11-18 · math-ph · math.AP · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZG3W24QDWJWDMUL42TIXNP6IO}

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	2026-07-05T07:29:07.920417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e4dbb6b901d9361b28be6a68bb5fe438aa6706012fa2935fe772edccc766bf2

Aliases

arxiv: 1911.07795 · arxiv_version: 1911.07795v3 · doi: 10.48550/arxiv.1911.07795 · pith_short_12: RZG3W24QDWJW · pith_short_16: RZG3W24QDWJWDMUL · pith_short_8: RZG3W24Q

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/RZG3W24QDWJWDMUL42TIXNP6IO \
  | 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: 8e4dbb6b901d9361b28be6a68bb5fe438aa6706012fa2935fe772edccc766bf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fa752e3a986c8c0bdba69621a66dcaa7d0c8460894483d78c9c843a9da4a128",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-11-18T17:49:36Z",
    "title_canon_sha256": "f26f4c2bbef82317ef6123b8d6869ebe905c99c57d1a07fd7f9f71cb8fa08a80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.07795",
    "kind": "arxiv",
    "version": 3
  }
}