Pith Number

pith:FTUNN2BD

pith:2019:FTUNN2BDSPXOBIA3QQZV5DSL7Z

not attested not anchored not stored refs pending

Rational dilation of tetrablock contractions revisited

Haripada Sau, Joseph A. Ball

arxiv:1907.10832 v1 · 2019-07-25 · 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{FTUNN2BDSPXOBIA3QQZV5DSL7Z}

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	2026-05-17T23:39:34.382169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ce8d6e82393eee0a01b84335e8e4bfe4ae5b6c413f6fe60a67c7975ce3e6407

Aliases

arxiv: 1907.10832 · arxiv_version: 1907.10832v1 · doi: 10.48550/arxiv.1907.10832 · pith_short_12: FTUNN2BDSPXO · pith_short_16: FTUNN2BDSPXOBIA3 · pith_short_8: FTUNN2BD

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/FTUNN2BDSPXOBIA3QQZV5DSL7Z \
  | 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: 2ce8d6e82393eee0a01b84335e8e4bfe4ae5b6c413f6fe60a67c7975ce3e6407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c8e3ff4aebce17776fc9bfa8455cc66d0631b610c29f8929953a1f373c4cd54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-25T04:31:15Z",
    "title_canon_sha256": "b844c82fb5c249909fd300347ec1805fd2ef89379c8cdba93b79948eaa777495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10832",
    "kind": "arxiv",
    "version": 1
  }
}