Pith Number

pith:CQJAWXQK

pith:2016:CQJAWXQK2YBXZKI5CUZP4LB7TF

not attested not anchored not stored refs pending

The A-theoretic Farrell-Jones Conjecture for virtually solvable groups

Christian Wegner, Christoph Winges, Daniel Kasprowski, Mark Ullmann

arxiv:1609.07468 v2 · 2016-09-23 · math.KT · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQJAWXQK2YBXZKI5CUZP4LB7TF}

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	2026-05-18T00:04:42.005263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14120b5e0ad6037ca91d1532fe2c3f996964c345b91f2f75cbd6d0fcbb472554

Aliases

arxiv: 1609.07468 · arxiv_version: 1609.07468v2 · doi: 10.48550/arxiv.1609.07468 · pith_short_12: CQJAWXQK2YBX · pith_short_16: CQJAWXQK2YBXZKI5 · pith_short_8: CQJAWXQK

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/CQJAWXQK2YBXZKI5CUZP4LB7TF \
  | 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: 14120b5e0ad6037ca91d1532fe2c3f996964c345b91f2f75cbd6d0fcbb472554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e962adb42107f6d216b7f8d5e66aec70b31ae2e201b1747974a42785982abbda",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-09-23T19:21:11Z",
    "title_canon_sha256": "1eadec3c2bd8c19d4eaad12b61772ae6d8b26cf8d5c57103d89905426fb2c490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07468",
    "kind": "arxiv",
    "version": 2
  }
}