Pith Number

pith:HHF7LD7W

pith:2011:HHF7LD7W2AQOC2RY6XN7AIMPSJ

not attested not anchored not stored refs pending

Lifting defects for nonstable K_0-theory of exchange rings and C*-algebras

Friedrich Wehrung (LMNO)

arxiv:1101.4803 v2 · 2011-01-25 · math.OA · math.CT · 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{HHF7LD7W2AQOC2RY6XN7AIMPSJ}

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	2026-05-18T03:29:37.847817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39cbf58ff6d020e16a38f5dbf0218f926c0245081cc7ff47e3c9b560e87224fe

Aliases

arxiv: 1101.4803 · arxiv_version: 1101.4803v2 · doi: 10.48550/arxiv.1101.4803 · pith_short_12: HHF7LD7W2AQO · pith_short_16: HHF7LD7W2AQOC2RY · pith_short_8: HHF7LD7W

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/HHF7LD7W2AQOC2RY6XN7AIMPSJ \
  | 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: 39cbf58ff6d020e16a38f5dbf0218f926c0245081cc7ff47e3c9b560e87224fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9494804bd4f34fe8fc4fe27779c68dde75ee8a66b4d46f7320ee2c41647278ec",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-01-25T13:07:59Z",
    "title_canon_sha256": "4bb690e81b7eac9f1588a56bcfa7769eb8572b01da39209801ec206d267b7e1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4803",
    "kind": "arxiv",
    "version": 2
  }
}