Pith Number

pith:O2RZFCBO

pith:2014:O2RZFCBOATRDZNKR2FO2XC74DB

not attested not anchored not stored refs pending

A pre-order on positive real operators and its invariance under linear fractional transformations

S. ter Horst

arxiv:1408.0525 v1 · 2014-08-03 · 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{O2RZFCBOATRDZNKR2FO2XC74DB}

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	2026-05-18T02:45:56.843111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a392882e04e23cb551d15dab8bfc18477cc5c6c8cf7078b228ae3de548fab3

Aliases

arxiv: 1408.0525 · arxiv_version: 1408.0525v1 · doi: 10.48550/arxiv.1408.0525 · pith_short_12: O2RZFCBOATRD · pith_short_16: O2RZFCBOATRDZNKR · pith_short_8: O2RZFCBO

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/O2RZFCBOATRDZNKR2FO2XC74DB \
  | 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: 76a392882e04e23cb551d15dab8bfc18477cc5c6c8cf7078b228ae3de548fab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44ee056799a02f21d9d3278340d4cff9ea6a655ecae869bd45ab7555147a7e7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-08-03T18:40:01Z",
    "title_canon_sha256": "181f0cd8bb2bf70cb82caa0f760a3b48345c5e87499a4926ec374cc5d56554f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0525",
    "kind": "arxiv",
    "version": 1
  }
}