Pith Number

pith:U7VSVKGI

pith:2009:U7VSVKGIJMYMCF5KJ2TICK2N7O

not attested not anchored not stored refs pending

The Grothendieck group of algebraic stacks

Torsten Ekedahl

arxiv:0903.3143 v2 · 2009-03-18 · 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{U7VSVKGIJMYMCF5KJ2TICK2N7O}

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

McKay correspondence for linearly reductive finite group schemes in positive characteristic

Receipt and verification

First computed	2026-07-04T15:39:46.550376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7eb2aa8c84b30c117aa4ea6812b4dfb8e089b18f013f270c77e76e93c243deb

Aliases

arxiv: 0903.3143 · arxiv_version: 0903.3143v2 · doi: 10.48550/arxiv.0903.3143 · pith_short_12: U7VSVKGIJMYM · pith_short_16: U7VSVKGIJMYMCF5K · pith_short_8: U7VSVKGI

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/U7VSVKGIJMYMCF5KJ2TICK2N7O \
  | 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: a7eb2aa8c84b30c117aa4ea6812b4dfb8e089b18f013f270c77e76e93c243deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a31758302f235f44e3e61dd08051fc121adcc656435895cf3e724556bc579c0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-03-18T12:30:36Z",
    "title_canon_sha256": "dc4d93a771bbec420be1097382634ff02def0b80475f8433f33682787f37ef60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3143",
    "kind": "arxiv",
    "version": 2
  }
}