Pith Number

pith:7VK52QYW

pith:2015:7VK52QYWEI3DO4H3FVYI4YJWLB

not attested not anchored not stored refs pending

Spectral Metric Spaces on Extensions of C*-Algebras

Andrew Hawkins, Joachim Zacharias

arxiv:1511.00454 v2 · 2015-11-02 · math.OA · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VK52QYWEI3DO4H3FVYI4YJWLB}

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	2026-05-18T01:07:54.006919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd55dd431622363770fb2d708e61365846a01f3746991ca959bd5e1dd7e1d950

Aliases

arxiv: 1511.00454 · arxiv_version: 1511.00454v2 · doi: 10.48550/arxiv.1511.00454 · pith_short_12: 7VK52QYWEI3D · pith_short_16: 7VK52QYWEI3DO4H3 · pith_short_8: 7VK52QYW

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/7VK52QYWEI3DO4H3FVYI4YJWLB \
  | 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: fd55dd431622363770fb2d708e61365846a01f3746991ca959bd5e1dd7e1d950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "335f3b41f4218083a336703824ea6922d85189a41534ddbc795afd19193206a6",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-11-02T11:43:45Z",
    "title_canon_sha256": "3a43d97e5d46b08e9467399fedfe6c12cbfabf2155e18277b019ac8e1ad86a47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00454",
    "kind": "arxiv",
    "version": 2
  }
}