Pith Number

pith:WDWCOSLB

pith:2010:WDWCOSLBF2IMJSL2PAQXKRUTBK

not attested not anchored not stored refs pending

Stinespring's theorem for maps on Hilbert C*-modules

B V Rajarama Bhat, G. Ramesh, K. Sumesh

arxiv:1001.3743 v1 · 2010-01-21 · 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{WDWCOSLBF2IMJSL2PAQXKRUTBK}

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	2026-05-18T02:51:50.374911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0ec2749612e90c4c97a78217546930a829623aeff5db19fb4118700ac7b659d

Aliases

arxiv: 1001.3743 · arxiv_version: 1001.3743v1 · doi: 10.48550/arxiv.1001.3743 · pith_short_12: WDWCOSLBF2IM · pith_short_16: WDWCOSLBF2IMJSL2 · pith_short_8: WDWCOSLB

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/WDWCOSLBF2IMJSL2PAQXKRUTBK \
  | 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: b0ec2749612e90c4c97a78217546930a829623aeff5db19fb4118700ac7b659d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff7d7f6e11b02fbd8cf3fded6e6c709b98df36b992d0d40c9f60dfde1ff3ccbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-01-21T14:21:30Z",
    "title_canon_sha256": "d53b11b10061f0a2d5322e491f7d9264a1b19441106453faffd0a718a4ad022b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3743",
    "kind": "arxiv",
    "version": 1
  }
}