Pith Number

pith:ETNRZVXL

pith:2024:ETNRZVXLUJX22ER5RHT5ROAWR4

not attested not anchored not stored refs pending

Proof of the geometric Langlands conjecture IV: ambidexterity

D. Arinkin, D. Beraldo, D. Gaitsgory, J. Faergeman, K. Lin, L. Chen, N. Rozenblyum, S. Raskin

arxiv:2409.08670 v1 · 2024-09-13 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ETNRZVXLUJX22ER5RHT5ROAWR4}

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

2 papers in Pith

Quantum Betti geometric Langlands functor

Semiorthogonal decompositions for stacks

Receipt and verification

First computed	2026-07-05T09:06:45.396679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24db1cd6eba26fad123d89e7d8b8168f3db864d471c924705bacda4a3f741581

Aliases

arxiv: 2409.08670 · arxiv_version: 2409.08670v1 · doi: 10.48550/arxiv.2409.08670 · pith_short_12: ETNRZVXLUJX2 · pith_short_16: ETNRZVXLUJX22ER5 · pith_short_8: ETNRZVXL

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/ETNRZVXLUJX22ER5RHT5ROAWR4 \
  | 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: 24db1cd6eba26fad123d89e7d8b8168f3db864d471c924705bacda4a3f741581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab9afa9f55493a68e1693fc48a2722b312e83b5d8e511cc55b0f5852bf29d638",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-09-13T09:35:05Z",
    "title_canon_sha256": "4b448757159bb41e3a9efe81055a5e1b3c5517368fc53311ded987aa47bd3718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.08670",
    "kind": "arxiv",
    "version": 1
  }
}