Pith Number

pith:NZYXWIZA

pith:2019:NZYXWIZASSYPTBMUN6PMXGNNYI

not attested not anchored not stored refs pending

Scaled Relative Graph of Normal Matrices

Ernest K. Ryu, Wotao Yin, Xinmeng Huang

arxiv:2001.02061 v3 · 2019-12-28 · math.NA · cs.NA · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZYXWIZASSYPTBMUN6PMXGNNYI}

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.

Cited by

1 paper in Pith

Computable Characterisations of Scaled Relative Graphs of Closed Operators

Receipt and verification

First computed	2026-07-05T09:44:02.876373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e717b232094b0f985946f9ecb99adc2273b886ce6eef4bedf5f4ee080449c5a

Aliases

arxiv: 2001.02061 · arxiv_version: 2001.02061v3 · doi: 10.48550/arxiv.2001.02061 · pith_short_12: NZYXWIZASSYP · pith_short_16: NZYXWIZASSYPTBMU · pith_short_8: NZYXWIZA

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/NZYXWIZASSYPTBMUN6PMXGNNYI \
  | 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: 6e717b232094b0f985946f9ecb99adc2273b886ce6eef4bedf5f4ee080449c5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1cb9709c0d21e13b8e1ba0e9218449e41918f0b350ec0e8e0f789848c64c368",
    "cross_cats_sorted": [
      "cs.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-12-28T01:16:07Z",
    "title_canon_sha256": "9bc246aeae40017acad0d3930e1dc455ae9813f883f8c495aa1f777e163dc3ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.02061",
    "kind": "arxiv",
    "version": 3
  }
}