Pith Number

pith:Y5KYSIVD

pith:2017:Y5KYSIVDFFFSHHOK4T6XDM4PYX

not attested not anchored not stored refs pending

$R$-triviality of some exceptional groups

Maneesh Thakur

arxiv:1704.07811 v1 · 2017-04-25 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5KYSIVDFFFSHHOK4T6XDM4PYX}

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	2026-05-18T00:45:36.817626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7558922a3294b239dcae4fd71b38fc5d6dfd7ba7d439a29a55ad4958d3c2962

Aliases

arxiv: 1704.07811 · arxiv_version: 1704.07811v1 · doi: 10.48550/arxiv.1704.07811 · pith_short_12: Y5KYSIVDFFFS · pith_short_16: Y5KYSIVDFFFSHHOK · pith_short_8: Y5KYSIVD

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/Y5KYSIVDFFFSHHOK4T6XDM4PYX \
  | 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: c7558922a3294b239dcae4fd71b38fc5d6dfd7ba7d439a29a55ad4958d3c2962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c8c45c1ec39b6d1eefc3d8632d5fde96aad4669440dc377d61de9664df73de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-04-25T17:41:45Z",
    "title_canon_sha256": "fc58b1a07e5d9113da21ad81a793fdb3189d1cec74955d655ceacc6dd275de8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07811",
    "kind": "arxiv",
    "version": 1
  }
}