Pith Number

pith:HLMP6E3N

pith:2012:HLMP6E3N5T7DLGL3UDTOTBAV4G

not attested not anchored not stored refs pending

Pictures of KK-theory for real C*-algebras and almost commuting matrices

Efren Ruiz, Jeffrey L. Boersema, Terry A. Loring

arxiv:1210.3133 v2 · 2012-10-11 · 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{HLMP6E3N5T7DLGL3UDTOTBAV4G}

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	2026-05-18T01:25:08.992981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ad8ff136decfe35997ba0e6e98415e19c9f1f9e84303a3250660a3b43a83a96

Aliases

arxiv: 1210.3133 · arxiv_version: 1210.3133v2 · doi: 10.48550/arxiv.1210.3133 · pith_short_12: HLMP6E3N5T7D · pith_short_16: HLMP6E3N5T7DLGL3 · pith_short_8: HLMP6E3N

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/HLMP6E3N5T7DLGL3UDTOTBAV4G \
  | 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: 3ad8ff136decfe35997ba0e6e98415e19c9f1f9e84303a3250660a3b43a83a96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52b39fc1acfcaf49a060f050969cc642628a0b35a1d72449a1b34fab3a96e566",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-10-11T06:03:39Z",
    "title_canon_sha256": "180eb55852368870a654958245a4944ca58aebc6289f490770bb95c0d0b5d5cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3133",
    "kind": "arxiv",
    "version": 2
  }
}