Pith Number

pith:G4KP6KGN

pith:2019:G4KP6KGNXKWW7CUYL3NR62QER4

not attested not anchored not stored refs pending

Plurisubharmonic Noncommutative Rational Functions

Harry Dym, Igor Klep, Jurij Vol\v{c}i\v{c}, J. William Helton, Scott McCullough

arxiv:1908.01895 v1 · 2019-08-05 · math.FA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G4KP6KGNXKWW7CUYL3NR62QER4}

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	2026-07-05T01:26:05.163039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3714ff28cdbaad6f8a985edb1f6a048f17bf2824cc70b32e7ae9f2f532492dfc

Aliases

arxiv: 1908.01895 · arxiv_version: 1908.01895v1 · doi: 10.48550/arxiv.1908.01895 · pith_short_12: G4KP6KGNXKWW · pith_short_16: G4KP6KGNXKWW7CUY · pith_short_8: G4KP6KGN

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/G4KP6KGNXKWW7CUYL3NR62QER4 \
  | 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: 3714ff28cdbaad6f8a985edb1f6a048f17bf2824cc70b32e7ae9f2f532492dfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66df6c440e7a480a292e8810141b995652a9da856dab54f5f806e541d3720b35",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-05T22:57:13Z",
    "title_canon_sha256": "c2e9f0386ac130b186439afae02b4e4c0c4c57ec2f0fe083bf83b7687dace89e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01895",
    "kind": "arxiv",
    "version": 1
  }
}