Pith Number

pith:Y6LJQ232

pith:2017:Y6LJQ232UEYO7R27BTTGW7QIXN

not attested not anchored not stored refs pending

On the instability of the essential spectrum for block Jacobi matrices

Sergey Naboko, Stanislas Kupin

arxiv:1709.05726 v1 · 2017-09-17 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6LJQ232UEYO7R27BTTGW7QIXN}

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	2026-05-18T00:34:59.656757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c796986b7aa130efc75f0ce66b7e08bb46130d60e22ed69de9ca2107c0ea5c63

Aliases

arxiv: 1709.05726 · arxiv_version: 1709.05726v1 · doi: 10.48550/arxiv.1709.05726 · pith_short_12: Y6LJQ232UEYO · pith_short_16: Y6LJQ232UEYO7R27 · pith_short_8: Y6LJQ232

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/Y6LJQ232UEYO7R27BTTGW7QIXN \
  | 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: c796986b7aa130efc75f0ce66b7e08bb46130d60e22ed69de9ca2107c0ea5c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de2689b0ed6b5ad9cddb577e2db720eccf712007c50783b8fcba17824ba7c8d4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-09-17T23:21:38Z",
    "title_canon_sha256": "6a05ea9f94193abcc7dba6db90aa22b2dc93f19feb4f001e2ce1f8cbf314e3f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05726",
    "kind": "arxiv",
    "version": 1
  }
}