Pith Number

pith:AZZGCOTY

pith:2018:AZZGCOTYJVTROVIAGOKXF4J2IY

not attested not anchored not stored refs pending

S-arithmetic spinor groups with the same finite quotients and distinct $\ell^2$-cohomology

Holger Kammeyer, Roman Sauer

arxiv:1804.10604 v1 · 2018-04-27 · 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{AZZGCOTYJVTROVIAGOKXF4J2IY}

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	2026-05-18T00:17:20.373504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0672613a784d67175500339572f13a460b91b7992bc61a18f408e0344b240d97

Aliases

arxiv: 1804.10604 · arxiv_version: 1804.10604v1 · doi: 10.48550/arxiv.1804.10604 · pith_short_12: AZZGCOTYJVTR · pith_short_16: AZZGCOTYJVTROVIA · pith_short_8: AZZGCOTY

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/AZZGCOTYJVTROVIAGOKXF4J2IY \
  | 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: 0672613a784d67175500339572f13a460b91b7992bc61a18f408e0344b240d97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05ace71230243ec5a233c9db2e73da3e3f929b30a7d4541795297d5c92e3ad77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-04-27T17:39:33Z",
    "title_canon_sha256": "5105d920986aadcf72c054bc0c63c033fb9389ff4a9e8bab1e86a6b102010871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10604",
    "kind": "arxiv",
    "version": 1
  }
}