Pith Number

pith:ONUFBXQ2

pith:2016:ONUFBXQ22KTFNGGUUIYN2TOR6F

not attested not anchored not stored refs pending

On Kazhdan's property (T) for isotropic reductive groups

Anastasia Stavrova

arxiv:1602.03162 v1 · 2016-02-09 · 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{ONUFBXQ22KTFNGGUUIYN2TOR6F}

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	2026-05-18T01:21:03.321644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

736850de1ad2a65698d4a230dd4dd1f15a4c147df347b7020f4b753aaa13776e

Aliases

arxiv: 1602.03162 · arxiv_version: 1602.03162v1 · doi: 10.48550/arxiv.1602.03162 · pith_short_12: ONUFBXQ22KTF · pith_short_16: ONUFBXQ22KTFNGGU · pith_short_8: ONUFBXQ2

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/ONUFBXQ22KTFNGGUUIYN2TOR6F \
  | 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: 736850de1ad2a65698d4a230dd4dd1f15a4c147df347b7020f4b753aaa13776e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e17c953ab9edee0c061be06ab323a7d6b0f89ccb238baecc0dde783a533c2ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-02-09T20:44:26Z",
    "title_canon_sha256": "6837410fd90224ec26a9a4c43a79b95cd1f795edac65234173e38ce54c185d6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03162",
    "kind": "arxiv",
    "version": 1
  }
}