Pith Number

pith:HONWXNKV

pith:2018:HONWXNKV6GBZHZ4PVI3WBE7XNZ

not attested not anchored not stored refs pending

Kirchberg--Wassermann exactness vs exactness: reduction to the unimodular totally disconnected case

Chris Cave, Joachim Zacharias

arxiv:1803.06679 v1 · 2018-03-18 · math.GR · 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{HONWXNKV6GBZHZ4PVI3WBE7XNZ}

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	2026-05-18T00:20:45.292032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b9b6bb555f18393e78faa376093f76e5c2091351babde05eb068da62e2fb690

Aliases

arxiv: 1803.06679 · arxiv_version: 1803.06679v1 · doi: 10.48550/arxiv.1803.06679 · pith_short_12: HONWXNKV6GBZ · pith_short_16: HONWXNKV6GBZHZ4P · pith_short_8: HONWXNKV

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/HONWXNKV6GBZHZ4PVI3WBE7XNZ \
  | 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: 3b9b6bb555f18393e78faa376093f76e5c2091351babde05eb068da62e2fb690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69037b8376dab15e50a6a96814df541b30ac525cf2d821828cdc26711b70784e",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-03-18T15:43:04Z",
    "title_canon_sha256": "8db80d35cde25f819542a3890ef15a386946d73fb0a1f3fb51c24735e4e4a90b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06679",
    "kind": "arxiv",
    "version": 1
  }
}