Pith Number

pith:34IPROTB

pith:2026:34IPROTBEDRVFOO6OFKGJGW7P3

not attested not anchored not stored refs pending

$q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis

Fridolin Melong, Raimar Wulkenhaar

arxiv:2608.02179 v1 · 2026-08-03 · math-ph · math.AG · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{34IPROTBEDRVFOO6OFKGJGW7P3}

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.

Receipt and verification

First computed	2026-08-04T02:11:18.758589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df10f8ba6120e352b9de7154649adf7ed652abb83ba4b737c90c103a43719934

Aliases

arxiv: 2608.02179 · arxiv_version: 2608.02179v1 · doi: 10.48550/arxiv.2608.02179 · pith_short_12: 34IPROTBEDRV · pith_short_16: 34IPROTBEDRVFOO6 · pith_short_8: 34IPROTB

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/34IPROTBEDRVFOO6OFKGJGW7P3 \
  | 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: df10f8ba6120e352b9de7154649adf7ed652abb83ba4b737c90c103a43719934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3489c825d315e73720a8ccf6d967a7fab9bc9cf031e6368d893e7437f004f769",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-08-03T13:00:35Z",
    "title_canon_sha256": "57c360c52e377c141da96095888601025a4fec860a3e38551f65b30eded83d4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02179",
    "kind": "arxiv",
    "version": 1
  }
}