Pith Number

pith:ZSC4K7GJ

pith:2018:ZSC4K7GJFUOX22A3JOAPZQI744

not attested not anchored not stored refs pending

Green matrix estimates of block Jacobi matrices I: Unbounded gap in the essential spectrum

Jan Janas, Luis O. Silva, Sergey Naboko

arxiv:1801.01924 v2 · 2018-01-05 · 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{ZSC4K7GJFUOX22A3JOAPZQI744}

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	2026-05-18T00:06:40.836213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc85c57cc92d1d7d681b4b80fcc11fe72ab83c6ab88b3de0a8bd41a1a38330f4

Aliases

arxiv: 1801.01924 · arxiv_version: 1801.01924v2 · doi: 10.48550/arxiv.1801.01924 · pith_short_12: ZSC4K7GJFUOX · pith_short_16: ZSC4K7GJFUOX22A3 · pith_short_8: ZSC4K7GJ

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/ZSC4K7GJFUOX22A3JOAPZQI744 \
  | 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: cc85c57cc92d1d7d681b4b80fcc11fe72ab83c6ab88b3de0a8bd41a1a38330f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47f9d5d25f38acfb10648836eeeb530a8003fdb1ab21723ee2f6aebb412268ad",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-01-05T21:30:45Z",
    "title_canon_sha256": "43e2c838bea8f546bedc2194d0561750fa076b7f0bce07bd210a2d778965839b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01924",
    "kind": "arxiv",
    "version": 2
  }
}