Pith Number

pith:KFQMTJ4R

pith:1996:KFQMTJ4RZ72KA4CQU2DPGCDB3E

not attested not anchored not stored refs pending

Cocycle superrigidity for ergodic actions of non-semisimple Lie groups

Dave Witte

arxiv:math/9607219 v1 · 1996-07-01 · math.RT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KFQMTJ4RZ72KA4CQU2DPGCDB3E}

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	2026-05-18T01:05:47.180367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5160c9a791cff4a07050a686f30861d92cb278551fddc89d0be061c63345a601

Aliases

arxiv: math/9607219 · arxiv_version: math/9607219v1 · doi: 10.48550/arxiv.math/9607219 · pith_short_12: KFQMTJ4RZ72K · pith_short_16: KFQMTJ4RZ72KA4CQ · pith_short_8: KFQMTJ4R

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/KFQMTJ4RZ72KA4CQU2DPGCDB3E \
  | 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: 5160c9a791cff4a07050a686f30861d92cb278551fddc89d0be061c63345a601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbef0ccd1da5b38c7731e3f5d7e7ba0b2299092cd2df095c459c94983c908250",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "1996-07-01T00:00:00Z",
    "title_canon_sha256": "39fe2a67ead02adef921f95d5d5a1e819013abb34d07140c64d494534eca7b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9607219",
    "kind": "arxiv",
    "version": 1
  }
}