Pith Number

pith:TAPVTWZI

pith:2014:TAPVTWZIWPF56OAMZORYCBYUQU

not attested not anchored not stored refs pending

Inner products and module maps of Hilbert C*-modules

Ming-Hsiu Hsu, Ngai-Ching Wong

arxiv:1402.6424 v1 · 2014-02-26 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAPVTWZIWPF56OAMZORYCBYUQU}

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	2026-05-18T02:57:44.542738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

981f59db28b3cbdf380ccba38107148507a0d0a68e9b17333486cc5d680422f3

Aliases

arxiv: 1402.6424 · arxiv_version: 1402.6424v1 · doi: 10.48550/arxiv.1402.6424 · pith_short_12: TAPVTWZIWPF5 · pith_short_16: TAPVTWZIWPF56OAM · pith_short_8: TAPVTWZI

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/TAPVTWZIWPF56OAMZORYCBYUQU \
  | 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: 981f59db28b3cbdf380ccba38107148507a0d0a68e9b17333486cc5d680422f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "677a90a9ed48209e34e3117b1344b377f60d8d481b3f60d104fe83d4cb8d3888",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-02-26T06:00:43Z",
    "title_canon_sha256": "4f30b10824d65463d0fdf60c57c970aaa943b2e3fb9047cf260e24780df6d4c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6424",
    "kind": "arxiv",
    "version": 1
  }
}