Pith Number

pith:36N4WVWX

pith:2013:36N4WVWXIRA34NMX42VE23XKRX

not attested not anchored not stored refs pending

Nevanlinna-Pick spaces with hyponormal multiplication operators

Michael Hartz

arxiv:1308.1130 v2 · 2013-08-05 · 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{36N4WVWXIRA34NMX42VE23XKRX}

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	2026-05-18T01:30:55.652383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df9bcb56d74441be3597e6aa4d6eea8dc590bbfea236774981387cc9cfe8cebc

Aliases

arxiv: 1308.1130 · arxiv_version: 1308.1130v2 · doi: 10.48550/arxiv.1308.1130 · pith_short_12: 36N4WVWXIRA3 · pith_short_16: 36N4WVWXIRA34NMX · pith_short_8: 36N4WVWX

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/36N4WVWXIRA34NMX42VE23XKRX \
  | 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: df9bcb56d74441be3597e6aa4d6eea8dc590bbfea236774981387cc9cfe8cebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "765c5e934567bddaa4210c9edc6bfc11535da5f3e929b950121c04c9b5876305",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-05T21:46:26Z",
    "title_canon_sha256": "a67ed58595a56eed392601b3aa43fc5a4be395c36d709f9b7ffe4bbe22fb7334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1130",
    "kind": "arxiv",
    "version": 2
  }
}