Pith Number

pith:ILJLZTON

pith:2026:ILJLZTONMGM7FJTU4HWVGNIYIK

not attested not anchored not stored refs pending

A proof of Dolbeault geometric Langlands for $\mathrm{GL}_2$ with reduced spectral curves

Yukinobu Toda

arxiv:2602.09359 v3 · 2026-02-10 · math.AG · 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{ILJLZTONMGM7FJTU4HWVGNIYIK}

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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

2 papers in Pith

The Dolbeault geometric Langlands correspondence for type A groups beyond the elliptic locus

Semiorthogonal decompositions for stacks

Receipt and verification

First computed	2026-06-12T01:08:22.447722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d2bccdcd6199f2a674e1ed53351842a42faac6d137a0fdbb3bd6ff9d2be6e5

Aliases

arxiv: 2602.09359 · arxiv_version: 2602.09359v3 · doi: 10.48550/arxiv.2602.09359 · pith_short_12: ILJLZTONMGM7 · pith_short_16: ILJLZTONMGM7FJTU · pith_short_8: ILJLZTON

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/ILJLZTONMGM7FJTU4HWVGNIYIK \
  | 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: 42d2bccdcd6199f2a674e1ed53351842a42faac6d137a0fdbb3bd6ff9d2be6e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c782279016cb6349b5641727afd2c2e15a0ab00daec2fb39a6a92b646000ec88",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-02-10T03:09:15Z",
    "title_canon_sha256": "391e07403211c39033cb591f132070e8bba2e648766234230dbee6940e792ba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.09359",
    "kind": "arxiv",
    "version": 3
  }
}