Pith Number

pith:4XJTS7UK

pith:2012:4XJTS7UK2UPOV4ZHQML2URBG3N

not attested not anchored not stored refs pending

Inner amenable groups having no stable action

Yoshikata Kida

arxiv:1211.0863 v2 · 2012-11-05 · math.GR · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XJTS7UK2UPOV4ZHQML2URBG3N}

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	2026-05-18T02:30:16.038031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d3397e8ad51eeaf3278317aa4426db6a95fc8eea72231bebd0adade95131f5

Aliases

arxiv: 1211.0863 · arxiv_version: 1211.0863v2 · doi: 10.48550/arxiv.1211.0863 · pith_short_12: 4XJTS7UK2UPO · pith_short_16: 4XJTS7UK2UPOV4ZH · pith_short_8: 4XJTS7UK

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/4XJTS7UK2UPOV4ZHQML2URBG3N \
  | 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: e5d3397e8ad51eeaf3278317aa4426db6a95fc8eea72231bebd0adade95131f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74592be2344fdaa3a2f3254640db19cedb28e31fd639190beb1c1a251daa624d",
    "cross_cats_sorted": [
      "math.DS",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-11-05T13:47:45Z",
    "title_canon_sha256": "4339ab22f0257dc3bcd44538a30aad56cb8512b0a757b99e9b9d4ef108162905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0863",
    "kind": "arxiv",
    "version": 2
  }
}