Pith Number

pith:CXOOO5AA

pith:2017:CXOOO5AA7D6LGD2IXAI5LN3RIH

not attested not anchored not stored refs pending

K-theory of group Banach algebras and Banach property RD

Benben Liao, Guoliang Yu

arxiv:1708.01982 v2 · 2017-08-07 · math.FA · math.GR · 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{CXOOO5AA7D6LGD2IXAI5LN3RIH}

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.

Cited by

1 paper in Pith

Crossed product functors associated to $\ell^p$-pseudofunctions

Receipt and verification

First computed	2026-05-18T00:29:18.471263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15dce77400f8fcb30f48b811d5b77141dae9d68b6a3d7336afeff64335982773

Aliases

arxiv: 1708.01982 · arxiv_version: 1708.01982v2 · doi: 10.48550/arxiv.1708.01982 · pith_short_12: CXOOO5AA7D6L · pith_short_16: CXOOO5AA7D6LGD2I · pith_short_8: CXOOO5AA

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/CXOOO5AA7D6LGD2IXAI5LN3RIH \
  | 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: 15dce77400f8fcb30f48b811d5b77141dae9d68b6a3d7336afeff64335982773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ccce2addf49290b591790be04919a791101367886442cd5b785c4d51f3b0834",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-07T04:06:54Z",
    "title_canon_sha256": "a084f927cb931c4dfa06fdc803954bf855c5c2dcca57f9b2eb2599f20047df46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01982",
    "kind": "arxiv",
    "version": 2
  }
}