Pith Number

pith:KOOCH5ZC

pith:2010:KOOCH5ZCYFJRVM2JJQWKYDNW5V

not attested not anchored not stored refs pending

Localisation and colocalisation of KK-theory at sets of primes

Hvedri Inassaridze, Ralf Meyer, Tamaz Kandelaki

arxiv:1003.0278 v1 · 2010-03-01 · 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{KOOCH5ZCYFJRVM2JJQWKYDNW5V}

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	2026-05-18T03:52:26.669525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

539c23f722c1531ab3494c2cac0db6ed649cc94b10d78bc56b78295fbf198c56

Aliases

arxiv: 1003.0278 · arxiv_version: 1003.0278v1 · doi: 10.48550/arxiv.1003.0278 · pith_short_12: KOOCH5ZCYFJR · pith_short_16: KOOCH5ZCYFJRVM2J · pith_short_8: KOOCH5ZC

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/KOOCH5ZCYFJRVM2JJQWKYDNW5V \
  | 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: 539c23f722c1531ab3494c2cac0db6ed649cc94b10d78bc56b78295fbf198c56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2449df121c2c873d662beb81c50fd637ec5cfac7cd10fa6e8890ca0c358428a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-03-01T08:48:39Z",
    "title_canon_sha256": "19ed1e8b318383c72048cec97382bf7e6be29e1697427332f2122601a206bd96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0278",
    "kind": "arxiv",
    "version": 1
  }
}