Pith Number

pith:42RQWOQN

pith:2010:42RQWOQNOUT3ZG5TTD4GHDO24F

not attested not anchored not stored refs pending

Schur-Agler class rational inner functions on the tridisk

Greg Knese

arxiv:1010.0715 v1 · 2010-10-04 · 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{42RQWOQNOUT3ZG5TTD4GHDO24F}

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	2026-05-18T03:34:35.990009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6a30b3a0d7527bc9bb398f8638ddae157fa436a9ade31b85ca8c857e25512a4

Aliases

arxiv: 1010.0715 · arxiv_version: 1010.0715v1 · doi: 10.48550/arxiv.1010.0715 · pith_short_12: 42RQWOQNOUT3 · pith_short_16: 42RQWOQNOUT3ZG5T · pith_short_8: 42RQWOQN

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/42RQWOQNOUT3ZG5TTD4GHDO24F \
  | 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: e6a30b3a0d7527bc9bb398f8638ddae157fa436a9ade31b85ca8c857e25512a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f93a1efdd576fe9b5bd1ca82a356177e2660b528994617f45ac94316600ff00",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-10-04T21:54:23Z",
    "title_canon_sha256": "03a5de849a6cd17dce8e9bdfbbe05f4ce46f110cf582a8d5b68e8691ee0925dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0715",
    "kind": "arxiv",
    "version": 1
  }
}