Pith Number

pith:JG2TGPBO

pith:2021:JG2TGPBOGAASQSZJ6VVWF77ZFY

not attested not anchored not stored refs pending

When is a reductive group scheme linear?

Philippe Gille (ICJ)

arxiv:2103.07305 v3 · 2021-03-12 · math.AG · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JG2TGPBOGAASQSZJ6VVWF77ZFY}

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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

Quadratic Spaces and Orthogonal Groups over semilocal Rings

Receipt and verification

First computed	2026-07-05T02:34:12.011243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b5333c2e3001284b29f56b62fff92e1260e56d4d70017295dc819ff77a10aa

Aliases

arxiv: 2103.07305 · arxiv_version: 2103.07305v3 · doi: 10.48550/arxiv.2103.07305 · pith_short_12: JG2TGPBOGAAS · pith_short_16: JG2TGPBOGAASQSZJ · pith_short_8: JG2TGPBO

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/JG2TGPBOGAASQSZJ6VVWF77ZFY \
  | 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: 49b5333c2e3001284b29f56b62fff92e1260e56d4d70017295dc819ff77a10aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "305671cc5a410910eb47906dae3f9a2094b190d4818b543595e5c784e989305b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-03-12T14:27:31Z",
    "title_canon_sha256": "a07536248f4a7947360367f9eac2958790635e4399f6f104b7d52af7f130a862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.07305",
    "kind": "arxiv",
    "version": 3
  }
}