Pith Number

pith:7QCNRMP5

pith:2013:7QCNRMP5ZVK5SQ3K5QUHHUM5HM

not attested not anchored not stored refs pending

Faber polynomials of matrices for non-convex sets

Bernhard Beckermann (LPP), Michel Crouzeix (IRMAR)

arxiv:1310.1356 v1 · 2013-10-04 · math.NA · math.CA · 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{7QCNRMP5ZVK5SQ3K5QUHHUM5HM}

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	2026-05-18T03:11:22.550213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc04d8b1fdcd55d9436aec2873d19d3b14b59e4b7a31cea7ea5f2b7b387c95e8

Aliases

arxiv: 1310.1356 · arxiv_version: 1310.1356v1 · doi: 10.48550/arxiv.1310.1356 · pith_short_12: 7QCNRMP5ZVK5 · pith_short_16: 7QCNRMP5ZVK5SQ3K · pith_short_8: 7QCNRMP5

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/7QCNRMP5ZVK5SQ3K5QUHHUM5HM \
  | 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: fc04d8b1fdcd55d9436aec2873d19d3b14b59e4b7a31cea7ea5f2b7b387c95e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e059fbb7cf0a0d7384ffc3e14534b96a043beb25259f0a098e1b98f6598ead14",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-10-04T18:17:23Z",
    "title_canon_sha256": "d4f836c4ef9ff9c7495ba222c0159a6c826f3642480ec143708c686d58748939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1356",
    "kind": "arxiv",
    "version": 1
  }
}