Pith Number

pith:S5NZFZ66

pith:2015:S5NZFZ66YXR4NY6F6EFPTI6UTL

not attested not anchored not stored refs pending

The number of distinct eigenvalues of a matrix after perturbation

Patrick E. Farrell

arxiv:1508.07633 v2 · 2015-08-30 · math.OC · 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{S5NZFZ66YXR4NY6F6EFPTI6UTL}

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	2026-05-18T01:19:20.439125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

975b92e7dec5e3c6e3c5f10af9a3d49ac52cf2a1c531fe342df813499a8b8d79

Aliases

arxiv: 1508.07633 · arxiv_version: 1508.07633v2 · doi: 10.48550/arxiv.1508.07633 · pith_short_12: S5NZFZ66YXR4 · pith_short_16: S5NZFZ66YXR4NY6F · pith_short_8: S5NZFZ66

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/S5NZFZ66YXR4NY6F6EFPTI6UTL \
  | 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: 975b92e7dec5e3c6e3c5f10af9a3d49ac52cf2a1c531fe342df813499a8b8d79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "791edd28d452df3a296a4b656cdafeb91ac1b30472b649db59db3e06fb0e2c25",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-08-30T20:50:48Z",
    "title_canon_sha256": "1248a813c163f2a8cf59412b8b890fb636bdf869a8dc96416db278dde1b79e9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07633",
    "kind": "arxiv",
    "version": 2
  }
}