Pith Number

pith:RMAR6U4C

pith:2012:RMAR6U4CBJGFVSFBKLISSRFX6K

not attested not anchored not stored refs pending

Algebraic Kasparov K-theory. II

Grigory Garkusha

arxiv:1206.0178 v2 · 2012-06-01 · math.KT · math.AT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMAR6U4CBJGFVSFBKLISSRFX6K}

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	2026-05-18T01:10:11.269893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b011f53820a4c5ac8a152d12944b7f29f5c78989d08cf46f184beb91a603dac

Aliases

arxiv: 1206.0178 · arxiv_version: 1206.0178v2 · doi: 10.48550/arxiv.1206.0178 · pith_short_12: RMAR6U4CBJGF · pith_short_16: RMAR6U4CBJGFVSFB · pith_short_8: RMAR6U4C

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/RMAR6U4CBJGFVSFBKLISSRFX6K \
  | 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: 8b011f53820a4c5ac8a152d12944b7f29f5c78989d08cf46f184beb91a603dac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff79ed3766ca3f2aaf3618f4270462650278ed7e7398068c25c9006980219137",
    "cross_cats_sorted": [
      "math.AT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-06-01T13:38:54Z",
    "title_canon_sha256": "f9f465a1a9dabaa1ae0d0063c99fd4431c9df50e01a5ad49657a8b232b39c9ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0178",
    "kind": "arxiv",
    "version": 2
  }
}