Pith Number

pith:75W3KAFB

pith:2011:75W3KAFBINU33KIQJ5JIRUBEYU

not attested not anchored not stored refs pending

Homology and K-theory of the Bianchi groups

Alexander D. Rahm

arxiv:1103.1144 v2 · 2011-03-06 · 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{75W3KAFBINU33KIQJ5JIRUBEYU}

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	2026-05-18T04:13:55.175846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff6db500a14369bda9104f5288d024c532eb00e715246dc93d4da8f78a4cbd26

Aliases

arxiv: 1103.1144 · arxiv_version: 1103.1144v2 · doi: 10.48550/arxiv.1103.1144 · pith_short_12: 75W3KAFBINU3 · pith_short_16: 75W3KAFBINU33KIQ · pith_short_8: 75W3KAFB

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/75W3KAFBINU33KIQJ5JIRUBEYU \
  | 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: ff6db500a14369bda9104f5288d024c532eb00e715246dc93d4da8f78a4cbd26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dd1272b3a2d2d29209f7caceb37f7c6c8cd052aeb54e41f94fc3d4f6483c061",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-03-06T17:13:33Z",
    "title_canon_sha256": "9947b2d46f285b86ec55a2a47aea7f980270d15ac927c20c64a432ff8baa4458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1144",
    "kind": "arxiv",
    "version": 2
  }
}