Pith Number

pith:QW5634W2

pith:2015:QW5634W2YYRNUYQDU63WETQ4BH

not attested not anchored not stored refs pending

Explicit Bounds for the Pseudospectra of Various Classes of Matrices and Operators

Abigail Ward, Feixue Gong, Jeremy Meza, Mihai Stoiciu, Olivia Meyerson

arxiv:1505.05931 v1 · 2015-05-22 · math.SP · 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{QW5634W2YYRNUYQDU63WETQ4BH}

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	2026-05-18T01:12:43.897699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85bbedf2dac622da6203a7b7624e1c09d7bafda8dbf5ae125b2ebe2c86e971e6

Aliases

arxiv: 1505.05931 · arxiv_version: 1505.05931v1 · doi: 10.48550/arxiv.1505.05931 · pith_short_12: QW5634W2YYRN · pith_short_16: QW5634W2YYRNUYQD · pith_short_8: QW5634W2

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/QW5634W2YYRNUYQDU63WETQ4BH \
  | 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: 85bbedf2dac622da6203a7b7624e1c09d7bafda8dbf5ae125b2ebe2c86e971e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62eee382d4f5767bcf4e65c55bf32b1a1a6f4b03e6a91a0fb6b41f9ce9ade506",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-05-22T01:13:36Z",
    "title_canon_sha256": "0fd02070cddb4a48d49bf74e376a8b93836cd07a451c7b00338aacf59398efce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05931",
    "kind": "arxiv",
    "version": 1
  }
}