Pith Number

pith:C5TGAFOH

pith:2017:C5TGAFOH5QBZPFXIWAD6RRRBSH

not attested not anchored not stored refs pending

On the unit sphere of positive operators

Antonio M. Peralta

arxiv:1711.05652 v3 · 2017-11-15 · math.FA · 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{C5TGAFOH5QBZPFXIWAD6RRRBSH}

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	2026-05-17T23:56:48.507836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17666015c7ec039796e8b007e8c62191d358a190a6b1c901025fcef4c31f7441

Aliases

arxiv: 1711.05652 · arxiv_version: 1711.05652v3 · doi: 10.48550/arxiv.1711.05652 · pith_short_12: C5TGAFOH5QBZ · pith_short_16: C5TGAFOH5QBZPFXI · pith_short_8: C5TGAFOH

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/C5TGAFOH5QBZPFXIWAD6RRRBSH \
  | 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: 17666015c7ec039796e8b007e8c62191d358a190a6b1c901025fcef4c31f7441

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dff1d81647d647d45a780078d42e1d6886a729e1d5eea47d220a74c92fdadef4",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-15T16:29:29Z",
    "title_canon_sha256": "755131926932e89f6383f2f5d4a75207417ed1aeb018ffacb3fbe6e6a18111ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05652",
    "kind": "arxiv",
    "version": 3
  }
}