Pith Number

pith:G7IK4KBU

pith:2018:G7IK4KBUEUNXINJVOAJ2T2WZ4Y

not attested not anchored not stored refs pending

Delocalized eta invariants, algebraicity, and $K$-theory of group $C^*$-algebras

Guoliang Yu, Zhizhang Xie

arxiv:1805.07617 v4 · 2018-05-19 · 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{G7IK4KBUEUNXINJVOAJ2T2WZ4Y}

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	2026-05-17T23:46:32.073299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37d0ae2834251b7435357013a9ead9e61d1b97e79e326ac440e983dd7a3ed13d

Aliases

arxiv: 1805.07617 · arxiv_version: 1805.07617v4 · doi: 10.48550/arxiv.1805.07617 · pith_short_12: G7IK4KBUEUNX · pith_short_16: G7IK4KBUEUNXINJV · pith_short_8: G7IK4KBU

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/G7IK4KBUEUNXINJVOAJ2T2WZ4Y \
  | 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: 37d0ae2834251b7435357013a9ead9e61d1b97e79e326ac440e983dd7a3ed13d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a358d24f3ef036e02a11da6dcafca3d0e2aba694caebe9ab77281d8847a64e96",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2018-05-19T15:52:35Z",
    "title_canon_sha256": "ee1a8ef43b2f6cc64bed9f3e060e07170c34bbf728731f4bca586d944558f58b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07617",
    "kind": "arxiv",
    "version": 4
  }
}