Pith Number

pith:IXBRJTXL

pith:2011:IXBRJTXL55GBLOKH5ONAVHLBY5

not attested not anchored not stored refs pending

Compact generation of the category of D-modules on the stack of G-bundles on a curve

Dennis Gaitsgory, Vladimir Drinfeld

arxiv:1112.2402 v8 · 2011-12-11 · 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{IXBRJTXL55GBLOKH5ONAVHLBY5}

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

1 paper in Pith

Classification of nondegenerate $G$-categories (with an appendix written jointly with Germ\'an Stefanich)

Receipt and verification

First computed	2026-05-18T02:17:22.207941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c314ceebef4c15b947eb9a0a9d61c752df1368674a157996084d1c911d9745

Aliases

arxiv: 1112.2402 · arxiv_version: 1112.2402v8 · doi: 10.48550/arxiv.1112.2402 · pith_short_12: IXBRJTXL55GB · pith_short_16: IXBRJTXL55GBLOKH · pith_short_8: IXBRJTXL

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/IXBRJTXL55GBLOKH5ONAVHLBY5 \
  | 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: 45c314ceebef4c15b947eb9a0a9d61c752df1368674a157996084d1c911d9745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8c79fab95fb48901b3b33df461db826d1675fa0f9be6b6fe54d121885b8560a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-11T21:01:10Z",
    "title_canon_sha256": "6b02fc58ac4f3b9ff47cc8fd2c664c01fa0be97fb472d2c18510de0af40271ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2402",
    "kind": "arxiv",
    "version": 8
  }
}