Pith Number

pith:VR77SYJJ

pith:2025:VR77SYJJNCY57CYS7ELGNQKSBY

not attested not anchored not stored refs pending

Geometric Langlands in positive characteristic from characteristic zero

Dennis Gaitsgory, Sam Raskin

arxiv:2508.02237 v1 · 2025-08-04 · 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{VR77SYJJNCY57CYS7ELGNQKSBY}

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	2026-07-05T11:48:10.824495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac7ff9612968b1df8b12f91666c1520e252adc06eb70139d7205161c5400a7ab

Aliases

arxiv: 2508.02237 · arxiv_version: 2508.02237v1 · doi: 10.48550/arxiv.2508.02237 · pith_short_12: VR77SYJJNCY5 · pith_short_16: VR77SYJJNCY57CYS · pith_short_8: VR77SYJJ

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/VR77SYJJNCY57CYS7ELGNQKSBY \
  | 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: ac7ff9612968b1df8b12f91666c1520e252adc06eb70139d7205161c5400a7ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f841d0108359430d11ca57ff2a754fcca92a3018706d7fd683f52c04e295dae3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-04T09:35:25Z",
    "title_canon_sha256": "099e7b3cff259382cfa8ef6a5430f3a0e050012aa36668420466b913fa64e83a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.02237",
    "kind": "arxiv",
    "version": 1
  }
}