Pith Number

pith:KHGCX2FZ

pith:2010:KHGCX2FZXU2U6GOZQP7U4HNGG3

not attested not anchored not stored refs pending

The K-theoretic Farrell-Jones conjecture for CAT(0)-groups

Christian Wegner

arxiv:1012.3349 v2 · 2010-12-15 · 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{KHGCX2FZXU2U6GOZQP7U4HNGG3}

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	2026-05-18T04:25:37.648944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51cc2be8b9bd354f19d983ff4e1da636f73d321799469163daa1efa20d8d6149

Aliases

arxiv: 1012.3349 · arxiv_version: 1012.3349v2 · doi: 10.48550/arxiv.1012.3349 · pith_short_12: KHGCX2FZXU2U · pith_short_16: KHGCX2FZXU2U6GOZ · pith_short_8: KHGCX2FZ

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/KHGCX2FZXU2U6GOZQP7U4HNGG3 \
  | 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: 51cc2be8b9bd354f19d983ff4e1da636f73d321799469163daa1efa20d8d6149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eed5e06028a106b8bfa6d64802c9352950630b1a47f8b436eeac605fe34c815",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-12-15T14:46:18Z",
    "title_canon_sha256": "2364ff420c07193235d8f4e237517bfa2df851590b38f78236dc8bbc3834839f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3349",
    "kind": "arxiv",
    "version": 2
  }
}