Pith Number

pith:7IT6STEU

pith:2017:7IT6STEUCKWLLQHUNREE46KVWF

not attested not anchored not stored refs pending

The numerical range as a spectral set

C\'esar Palencia, Michel Crouzeix

arxiv:1702.00668 v1 · 2017-02-02 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IT6STEUCKWLLQHUNREE46KVWF}

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.

Cited by

1 paper in Pith

Tensor methods for the computation of MTTA in large systems of loosely interconnected components

Receipt and verification

First computed	2026-05-18T00:51:31.207299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa27e94c9412acb5c0f46c484e7955b15d48b2f16ced049f521414c79d80a522

Aliases

arxiv: 1702.00668 · arxiv_version: 1702.00668v1 · doi: 10.48550/arxiv.1702.00668 · pith_short_12: 7IT6STEUCKWL · pith_short_16: 7IT6STEUCKWLLQHU · pith_short_8: 7IT6STEU

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/7IT6STEUCKWLLQHUNREE46KVWF \
  | 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: fa27e94c9412acb5c0f46c484e7955b15d48b2f16ced049f521414c79d80a522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9358b0aeb203330d03add945d1c8480da9804bd5ed3379c4e061b327de8e6e29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-02T13:28:21Z",
    "title_canon_sha256": "96197ed0f0b5162b7ff668d8af00d3b7e0bdf7b239a6b6f5d66ec2fec8f33bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00668",
    "kind": "arxiv",
    "version": 1
  }
}