Pith Number

pith:YLFLLHDM

pith:2010:YLFLLHDMQQKIHL2MAMV6FS3O66

not attested not anchored not stored refs pending

Algebraic Kasparov K-theory. I

Grigory Garkusha

arxiv:1004.0918 v5 · 2010-04-06 · math.KT · math.AT · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YLFLLHDMQQKIHL2MAMV6FS3O66}

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	2026-05-18T02:34:45.283887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2cab59c6c841483af4c032be2cb6ef79a96e3d1371637e39d018c5096577a4a

Aliases

arxiv: 1004.0918 · arxiv_version: 1004.0918v5 · doi: 10.48550/arxiv.1004.0918 · pith_short_12: YLFLLHDMQQKI · pith_short_16: YLFLLHDMQQKIHL2M · pith_short_8: YLFLLHDM

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/YLFLLHDMQQKIHL2MAMV6FS3O66 \
  | 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: c2cab59c6c841483af4c032be2cb6ef79a96e3d1371637e39d018c5096577a4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc7a08950924741a84d8fa275703b0c68ff321c34f6ba145f5ffd17eee1d0813",
    "cross_cats_sorted": [
      "math.AT",
      "math.OA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-04-06T18:15:37Z",
    "title_canon_sha256": "2824aa7b3ad16fa597a0bb9d6468cadac2ee32f311745b220ba4b6574702ddeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0918",
    "kind": "arxiv",
    "version": 5
  }
}