Pith Number

pith:S4GLDLCE

pith:2024:S4GLDLCE67ZMLUBSTBCGGHMUED

not attested not anchored not stored refs pending

Proof of the geometric Langlands conjecture III: compatibility with parabolic induction

Dennis Gaitsgory, Joakim Faergeman, Justin Campbell, Kevin Lin, Lin Chen, Nick Rozenblyum, Sam Raskin

arxiv:2409.07051 v1 · 2024-09-11 · math.AG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4GLDLCE67ZMLUBSTBCGGHMUED}

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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

Quantum Betti geometric Langlands functor

Semiorthogonal decompositions for stacks

Receipt and verification

First computed	2026-07-05T09:05:44.949605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

970cb1ac44f7f2c5d0329844631d9420e4269695dca7e249468a67e96ab211df

Aliases

arxiv: 2409.07051 · arxiv_version: 2409.07051v1 · doi: 10.48550/arxiv.2409.07051 · pith_short_12: S4GLDLCE67ZM · pith_short_16: S4GLDLCE67ZMLUBS · pith_short_8: S4GLDLCE

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/S4GLDLCE67ZMLUBSTBCGGHMUED \
  | 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: 970cb1ac44f7f2c5d0329844631d9420e4269695dca7e249468a67e96ab211df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e90535ebd1926224e1c4aa7ff7a02338dfa98c48a531db97bbbff4ad4ad9151e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-09-11T06:54:14Z",
    "title_canon_sha256": "743972e8f4903d809afbb0d6a1e0fe5d3c03bff8debcac329f3bac268733d028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.07051",
    "kind": "arxiv",
    "version": 1
  }
}