Pith Number

pith:VNGWR7VN

pith:2011:VNGWR7VN3SVXFA7CNUVOBFFHSP

not attested not anchored not stored refs pending

Restriction maps in equivariant $KK$-theory

Otgonbayar Uuye

arxiv:1101.1859 v1 · 2011-01-10 · math.KT · 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{VNGWR7VN3SVXFA7CNUVOBFFHSP}

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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	2026-05-18T03:59:36.895400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab4d68feaddcab7283e26d2ae094a793c55efba0569673103a3dd1542d0be5bf

Aliases

arxiv: 1101.1859 · arxiv_version: 1101.1859v1 · doi: 10.48550/arxiv.1101.1859 · pith_short_12: VNGWR7VN3SVX · pith_short_16: VNGWR7VN3SVXFA7C · pith_short_8: VNGWR7VN

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/VNGWR7VN3SVXFA7CNUVOBFFHSP \
  | 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: ab4d68feaddcab7283e26d2ae094a793c55efba0569673103a3dd1542d0be5bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62c19430526b9ab66c42fd7d29c12c162ab39dccb732135b7a637ff8582a84fb",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-01-10T16:08:40Z",
    "title_canon_sha256": "c20380c15108c94aafe103331341856ab38734cca8cbdf8c59cf7598a1d206e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1859",
    "kind": "arxiv",
    "version": 1
  }
}