Pith Number

pith:J7BZFESB

pith:2015:J7BZFESBUBGN23OBJA3X2OOU6U

not attested not anchored not stored refs pending

Rational inner functions on a square-matrix polyball

Anatolii Grinshpan, Dmitry S. Kaliuzhnyi-Verbovetskyi, Hugo J. Woerdeman, Victor Vinnikov

arxiv:1505.05437 v1 · 2015-05-20 · 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{J7BZFESBUBGN23OBJA3X2OOU6U}

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	2026-05-18T02:03:56.350527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fc3929241a04cdd6dc148377d39d4f51fce8a07e708ead125d40dee5b20cc2c

Aliases

arxiv: 1505.05437 · arxiv_version: 1505.05437v1 · doi: 10.48550/arxiv.1505.05437 · pith_short_12: J7BZFESBUBGN · pith_short_16: J7BZFESBUBGN23OB · pith_short_8: J7BZFESB

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/J7BZFESBUBGN23OBJA3X2OOU6U \
  | 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: 4fc3929241a04cdd6dc148377d39d4f51fce8a07e708ead125d40dee5b20cc2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca532ee280004d9338069981b9357485e7587604022abf17b999fa893a3d0a31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-05-20T16:05:13Z",
    "title_canon_sha256": "7b74222e1620e626200ca675411842e6c7ac5d354ce506776f08f0c1850c2de9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05437",
    "kind": "arxiv",
    "version": 1
  }
}