Pith Number

pith:SPTXZEMG

pith:2009:SPTXZEMGV5HOYWEMJSNIM74SPK

not attested not anchored not stored refs pending

Perturbations of completely positive maps and strong NF algebras

Caleb Eckhardt

arxiv:0906.3510 v1 · 2009-06-18 · 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{SPTXZEMGV5HOYWEMJSNIM74SPK}

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	2026-05-18T02:58:03.076420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e77c9186af4eec588c4c9a867f927abd68bbb53b19ead663f4e9cea79e6214

Aliases

arxiv: 0906.3510 · arxiv_version: 0906.3510v1 · doi: 10.48550/arxiv.0906.3510 · pith_short_12: SPTXZEMGV5HO · pith_short_16: SPTXZEMGV5HOYWEM · pith_short_8: SPTXZEMG

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/SPTXZEMGV5HOYWEMJSNIM74SPK \
  | 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: 93e77c9186af4eec588c4c9a867f927abd68bbb53b19ead663f4e9cea79e6214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0a645e6c43f29a7f80e799402a7e1969ecd7aec3f6605c0b94532504e6c3d16",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-06-18T20:49:30Z",
    "title_canon_sha256": "401f2261fc39a6747ebc9978ff910a2f5a78e72b763dc64a9c9263630fa756c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3510",
    "kind": "arxiv",
    "version": 1
  }
}