Pith Number

pith:W5N3R3RX

pith:2019:W5N3R3RXR5UEJPDHPGOPPCUE45

not attested not anchored not stored refs pending

Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra

Peter B. Denton, Stephen J. Parke, Terence Tao, Xining Zhang

arxiv:1908.03795 v4 · 2019-08-10 · math.RA · hep-ph · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5N3R3RXR5UEJPDHPGOPPCUE45}

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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

2 papers in Pith

Perturbative determination of CP phase in CKM matrix using rephasing invariants of hierarchical mass matrices and their inverses

Eigenvector distribution of random matrices under critical finite-rank deformations

Receipt and verification

First computed	2026-07-05T02:18:03.465066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b75bb8ee378f6844bc67799cf78a84e77450fc1f4f48744d27186a89022db151

Aliases

arxiv: 1908.03795 · arxiv_version: 1908.03795v4 · doi: 10.48550/arxiv.1908.03795 · pith_short_12: W5N3R3RXR5UE · pith_short_16: W5N3R3RXR5UEJPDH · pith_short_8: W5N3R3RX

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/W5N3R3RXR5UEJPDHPGOPPCUE45 \
  | 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: b75bb8ee378f6844bc67799cf78a84e77450fc1f4f48744d27186a89022db151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "710947537c331b0944b995a70e34bd80292a4bc7f2a01be57a0c443cd86977d7",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-08-10T18:24:44Z",
    "title_canon_sha256": "4b67778c5fdfbeb920b93384070e68398f50de43ce29f5043ee1db9c7e546fd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03795",
    "kind": "arxiv",
    "version": 4
  }
}