Pith Number

pith:HXKXKSWB

pith:2013:HXKXKSWB5V4E7ME3YXZNUSMFVX

not attested not anchored not stored refs pending

W*-superrigidity for arbitrary actions of central quotients of braid groups

Adrian Ioana, Ionut Chifan, Yoshikata Kida

arxiv:1307.5245 v4 · 2013-07-19 · math.OA · math.DS · 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{HXKXKSWB5V4E7ME3YXZNUSMFVX}

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	2026-05-18T00:23:02.323007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dd5754ac1ed784fb09bc5f2da4985ade0e268e5b7139bc7dd353a7b2ef6a797

Aliases

arxiv: 1307.5245 · arxiv_version: 1307.5245v4 · doi: 10.48550/arxiv.1307.5245 · pith_short_12: HXKXKSWB5V4E · pith_short_16: HXKXKSWB5V4E7ME3 · pith_short_8: HXKXKSWB

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/HXKXKSWB5V4E7ME3YXZNUSMFVX \
  | 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: 3dd5754ac1ed784fb09bc5f2da4985ade0e268e5b7139bc7dd353a7b2ef6a797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c324b4ee752901e85014fb7286523529ab998c410fb01d132f5c652fe2eb1f23",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-07-19T15:00:02Z",
    "title_canon_sha256": "b6dc7acd2a02d4db5215a32672ae7ddc1ce1b11c50819afcfd0f68a49c8ae109"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5245",
    "kind": "arxiv",
    "version": 4
  }
}