Pith Number

pith:O4PRMNUI

pith:2012:O4PRMNUICYNOXHQ5DPCF237AK7

not attested not anchored not stored refs pending

K- and L-theory of group rings over GL_n(Z)

Arthur Bartels, Henrik Rueping, Holger Reich, Wolfgang Lueck

arxiv:1204.2418 v2 · 2012-04-11 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4PRMNUICYNOXHQ5DPCF237AK7}

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	2026-05-18T03:26:23.255165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

771f163688161aeb9e1d1bc45d6fe057c404c049afc84cba351738f3209eff93

Aliases

arxiv: 1204.2418 · arxiv_version: 1204.2418v2 · doi: 10.48550/arxiv.1204.2418 · pith_short_12: O4PRMNUICYNO · pith_short_16: O4PRMNUICYNOXHQ5 · pith_short_8: O4PRMNUI

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/O4PRMNUICYNOXHQ5DPCF237AK7 \
  | 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: 771f163688161aeb9e1d1bc45d6fe057c404c049afc84cba351738f3209eff93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11ce86cb7805516f5083cb16ea4ce4cfcdb30150123eb8d52666fd29c6c35938",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-04-11T11:28:56Z",
    "title_canon_sha256": "eb8c501bce9ed9e5e5bf1e8f7064d16c5d86749c64fd63ab9a1c14d368bf4edf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2418",
    "kind": "arxiv",
    "version": 2
  }
}