Pith Number

pith:JN5A4674

pith:2010:JN5A4674SVD4SV4NFJW7VCIAIH

not attested not anchored not stored refs pending

Rationality of quotients by linear actions of affine groups

Christian B\"ohning, Fedor Bogomolov, Hans-Christian Graf von Bothmer

arxiv:1005.2375 v2 · 2010-05-13 · 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{JN5A4674SVD4SV4NFJW7VCIAIH}

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	2026-05-18T04:27:17.919410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b7a0e7bfc9547c9578d2a6dfa890041de1055c77c9fa55625d700c98083ddb6

Aliases

arxiv: 1005.2375 · arxiv_version: 1005.2375v2 · doi: 10.48550/arxiv.1005.2375 · pith_short_12: JN5A4674SVD4 · pith_short_16: JN5A4674SVD4SV4N · pith_short_8: JN5A4674

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/JN5A4674SVD4SV4NFJW7VCIAIH \
  | 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: 4b7a0e7bfc9547c9578d2a6dfa890041de1055c77c9fa55625d700c98083ddb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec44c161698d3f597a313f7c320ae407296f70e5f5f2975410d07988405d76ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-13T16:54:32Z",
    "title_canon_sha256": "2b03dac029f23ecf87f32c5a7855cf912b64efbaeb34da98dacea7175478a785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2375",
    "kind": "arxiv",
    "version": 2
  }
}