Pith Number

pith:PYUEPTYX

pith:2019:PYUEPTYXJX3GU43TUQASL4KXGV

not attested not anchored not stored refs pending

Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory

A. T. Walden, J. F. Lutzeyer

arxiv:1908.03462 v1 · 2019-08-09 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYUEPTYXJX3GU43TUQASL4KXGV}

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	2026-07-04T23:52:40.136481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e2847cf174df66a7373a40125f157356c03557158a344ba7a2f546338b422e3

Aliases

arxiv: 1908.03462 · arxiv_version: 1908.03462v1 · doi: 10.48550/arxiv.1908.03462 · pith_short_12: PYUEPTYXJX3G · pith_short_16: PYUEPTYXJX3GU43T · pith_short_8: PYUEPTYX

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/PYUEPTYXJX3GU43TUQASL4KXGV \
  | 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: 7e2847cf174df66a7373a40125f157356c03557158a344ba7a2f546338b422e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4da5abd8ea1dfa526c2e1c2f0d3019a04c31eaf1050b305f85c2ff1ee166b53",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-08-09T14:08:16Z",
    "title_canon_sha256": "e8c163ddd3534434b43ffa54b8e3f28116721712f8d8c80ce96bdb61e438cc94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03462",
    "kind": "arxiv",
    "version": 1
  }
}