Pith Number

pith:XO62Q5XL

pith:2006:XO62Q5XLWF6PBFAQY6NOI5BCI2

not attested not anchored not stored refs pending

Operator-algebraic superrigidity for $SL_n(\mathbb Z),n\geq 3$

Bachir Bekka

arxiv:math/0609102 v2 · 2006-09-04 · math.OA · 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{XO62Q5XLWF6PBFAQY6NOI5BCI2}

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	2026-05-18T02:27:59.016460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbbda876ebb17cf09410c79ae4742246a93505b656177127245526f988555c6d

Aliases

arxiv: math/0609102 · arxiv_version: math/0609102v2 · doi: 10.48550/arxiv.math/0609102 · pith_short_12: XO62Q5XLWF6P · pith_short_16: XO62Q5XLWF6PBFAQ · pith_short_8: XO62Q5XL

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/XO62Q5XLWF6PBFAQY6NOI5BCI2 \
  | 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: bbbda876ebb17cf09410c79ae4742246a93505b656177127245526f988555c6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "238666e9e81570a6093c24a603840fe0af9b6dff218d09864a289d340d45fb44",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2006-09-04T15:17:50Z",
    "title_canon_sha256": "eb6fb3e1ff5fd58d7cb512e5a2d6091106d192d164d93036c670e9d53a6046e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609102",
    "kind": "arxiv",
    "version": 2
  }
}