Pith Number

pith:LH6JJ3RV

pith:2011:LH6JJ3RV34F6TVGJLTQZP7DJT7

not attested not anchored not stored refs pending

Flasque resolutions of reductive group schemes

Cristian D. Gonzalez-Aviles

arxiv:1112.6020 v2 · 2011-12-27 · math.NT · 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{LH6JJ3RV34F6TVGJLTQZP7DJT7}

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	2026-05-18T03:59:24.936447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59fc94ee35df0be9d4c95ce197fc699fcd3f4df3112f2f21114fdbb851c9c0af

Aliases

arxiv: 1112.6020 · arxiv_version: 1112.6020v2 · doi: 10.48550/arxiv.1112.6020 · pith_short_12: LH6JJ3RV34F6 · pith_short_16: LH6JJ3RV34F6TVGJ · pith_short_8: LH6JJ3RV

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/LH6JJ3RV34F6TVGJLTQZP7DJT7 \
  | 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: 59fc94ee35df0be9d4c95ce197fc699fcd3f4df3112f2f21114fdbb851c9c0af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cecc46c5b93a4a694787d1eb7fd32910e94bbea690648a5a136a7961f6bc3fc9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-27T20:56:31Z",
    "title_canon_sha256": "be2ab05b812be31c39dab6fe59529d88afd655f3e046c7a9dd79a88b1760a742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6020",
    "kind": "arxiv",
    "version": 2
  }
}