Pith Number

pith:LRKRZC5R

pith:2013:LRKRZC5RRVLLVXSJNTIQWLQB7T

not attested not anchored not stored refs pending

Zero-dilation Index of a Finite Matrix

Hwa-Long Gau, Kuo-Zhong Wang, Pei Yuan Wu

arxiv:1304.0296 v1 · 2013-04-01 · 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{LRKRZC5RRVLLVXSJNTIQWLQB7T}

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	2026-05-18T03:29:17.355972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c551c8bb18d56bade496cd10b2e01fcf4e477e36c7782613a819143084848e3

Aliases

arxiv: 1304.0296 · arxiv_version: 1304.0296v1 · doi: 10.48550/arxiv.1304.0296 · pith_short_12: LRKRZC5RRVLL · pith_short_16: LRKRZC5RRVLLVXSJ · pith_short_8: LRKRZC5R

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/LRKRZC5RRVLLVXSJNTIQWLQB7T \
  | 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: 5c551c8bb18d56bade496cd10b2e01fcf4e477e36c7782613a819143084848e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e2151eefe9843299820f881446ac518cecc10e40ee74199df53cd79b29e12d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-04-01T04:34:42Z",
    "title_canon_sha256": "07c2d700a97417bb9a8ad7e3db6f822e56b7d857954bea536df650c42372cfac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0296",
    "kind": "arxiv",
    "version": 1
  }
}