Pith Number

pith:5NUTXIKP

pith:2020:5NUTXIKPFQ27EGHM45VTOJ4DB6

not attested not anchored not stored refs pending

Density of diagonalizable matrices in sets of structured matrices defined from indefinite scalar products

Philip Saltenberger, Ralph John de la Cruz

arxiv:2007.00269 v1 · 2020-07-01 · math.RA · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5NUTXIKPFQ27EGHM45VTOJ4DB6}

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	2026-07-05T01:15:30.154248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb693ba14f2c35f218ece76b3727830f8d4df6635b64b476a8cadab677df3010

Aliases

arxiv: 2007.00269 · arxiv_version: 2007.00269v1 · doi: 10.48550/arxiv.2007.00269 · pith_short_12: 5NUTXIKPFQ27 · pith_short_16: 5NUTXIKPFQ27EGHM · pith_short_8: 5NUTXIKP

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/5NUTXIKPFQ27EGHM45VTOJ4DB6 \
  | 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: eb693ba14f2c35f218ece76b3727830f8d4df6635b64b476a8cadab677df3010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f7a75827ea75dbbfb603b7a916dfdd61ef028a4d7712ecf6dde75e35af54938",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2020-07-01T06:38:15Z",
    "title_canon_sha256": "26877713da28dbceb3f6beffd15d35479c7ffe1170018ed327db697ddf5da79f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.00269",
    "kind": "arxiv",
    "version": 1
  }
}