Pith Number

pith:KBOG5L52

pith:2009:KBOG5L523MBJUBSP55XCGEARTA

not attested not anchored not stored refs pending

Malnormal subgroups of lattices and the Pukanszky invariant in group factors

Guyan Robertson, Tim Steger

arxiv:0908.4342 v1 · 2009-08-29 · 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{KBOG5L523MBJUBSP55XCGEARTA}

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	2026-05-18T03:32:57.591230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

505c6eafbadb029a064fef6e231011983610d7c2aafb4aba3118bda9799775db

Aliases

arxiv: 0908.4342 · arxiv_version: 0908.4342v1 · doi: 10.48550/arxiv.0908.4342 · pith_short_12: KBOG5L523MBJ · pith_short_16: KBOG5L523MBJUBSP · pith_short_8: KBOG5L52

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/KBOG5L523MBJUBSP55XCGEARTA \
  | 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: 505c6eafbadb029a064fef6e231011983610d7c2aafb4aba3118bda9799775db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7f9a797c62f9fb6b5e5c1f07fbad78bf831da42ab04468dffce6b1ea18ab664",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-08-29T15:38:17Z",
    "title_canon_sha256": "e965ed87f3a89fd53798c2436bfa1daef5aaea5d2fafe6b0116c46162a09bad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4342",
    "kind": "arxiv",
    "version": 1
  }
}