Pith Number

pith:B7WZTUKP

pith:2010:B7WZTUKPKYRAM6T34PIOXF5Q36

not attested not anchored not stored refs pending

Rational inner functions in the Schur-Agler class of the polydisk

Greg Knese

arxiv:1005.5409 v1 · 2010-05-28 · 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{B7WZTUKPKYRAM6T34PIOXF5Q36}

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	2026-05-18T03:34:36.030149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fed99d14f5622067a7be3d0eb97b0dfa60f4a2c41e30b6711b73c150109ae4c

Aliases

arxiv: 1005.5409 · arxiv_version: 1005.5409v1 · doi: 10.48550/arxiv.1005.5409 · pith_short_12: B7WZTUKPKYRA · pith_short_16: B7WZTUKPKYRAM6T3 · pith_short_8: B7WZTUKP

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/B7WZTUKPKYRAM6T34PIOXF5Q36 \
  | 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: 0fed99d14f5622067a7be3d0eb97b0dfa60f4a2c41e30b6711b73c150109ae4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2388731a69c9e82ff3387617a2fc851eda55c0dd99da17f4d6e98e060d1aea8",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-05-28T22:16:11Z",
    "title_canon_sha256": "6d98f8550835921fe6a53406d6226a4b8e9a16bfb4dfb914fe1d20b7c2c5c650"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5409",
    "kind": "arxiv",
    "version": 1
  }
}