Pith Number

pith:7LFQUUMC

pith:2024:7LFQUUMCD33FJWCV6OHKNXHOYA

not attested not anchored not stored refs pending

Any topological recursion on a rational spectral curve is KP integrable

Alexander Alexandrov, Boris Bychkov, Maxim Kazarian, Petr Dunin-Barkowski, Sergey Shadrin

arxiv:2406.07391 v2 · 2024-06-11 · math-ph · hep-th · math.AG · 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{7LFQUUMCD33FJWCV6OHKNXHOYA}

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	2026-05-20T00:04:04.556508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

facb0a51821ef654d855f38ea6dceec01b9387df36c724600f9b348023d90473

Aliases

arxiv: 2406.07391 · arxiv_version: 2406.07391v2 · doi: 10.48550/arxiv.2406.07391 · pith_short_12: 7LFQUUMCD33F · pith_short_16: 7LFQUUMCD33FJWCV · pith_short_8: 7LFQUUMC

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/7LFQUUMCD33FJWCV6OHKNXHOYA \
  | 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: facb0a51821ef654d855f38ea6dceec01b9387df36c724600f9b348023d90473

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae83a515364a23696051af80fe9fb4258772c2cb29f3acaaacf77dbaf32be909",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-06-11T15:58:22Z",
    "title_canon_sha256": "5037f0ca393788f66e3346f1d23f9b64742f7bf494beaee26101d4c8f72b7e6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.07391",
    "kind": "arxiv",
    "version": 2
  }
}