Pith Number

pith:6N3CRQVV

pith:2019:6N3CRQVVW7FYIMO3JLZGY6HJYW

not attested not anchored not stored refs pending

First-order Perturbation Theory for Eigenvalues and Eigenvectors

Anne Greenbaum, Michael L. Overton, Ren-Cang Li

arxiv:1903.00785 v2 · 2019-03-02 · math.NA · cs.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{6N3CRQVVW7FYIMO3JLZGY6HJYW}

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	2026-05-17T23:44:29.169853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f37628c2b5b7cb8431db4af26c78e9c5b21e65ce0154fbcf13de645ba1eba2c0

Aliases

arxiv: 1903.00785 · arxiv_version: 1903.00785v2 · doi: 10.48550/arxiv.1903.00785 · pith_short_12: 6N3CRQVVW7FY · pith_short_16: 6N3CRQVVW7FYIMO3 · pith_short_8: 6N3CRQVV

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/6N3CRQVVW7FYIMO3JLZGY6HJYW \
  | 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: f37628c2b5b7cb8431db4af26c78e9c5b21e65ce0154fbcf13de645ba1eba2c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9266f1a72546b0911aa06736a33c1f0fcb3cd1b9d164f0f052b6a898b01aa097",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-03-02T22:51:22Z",
    "title_canon_sha256": "aba9336e8fa3aa3338d0c442c5bcd28fd7a4e87d97b1862afa19f3dff578b4a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00785",
    "kind": "arxiv",
    "version": 2
  }
}