Pith Number

pith:BROR5B7P

pith:2018:BROR5B7PRYXNPCNVEHHWLDYW7B

not attested not anchored not stored refs pending

A note on sharp spectral estimates for periodic Jacobi matrices

Anton A. Kutsenko

arxiv:1810.06948 v1 · 2018-10-16 · 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{BROR5B7PRYXNPCNVEHHWLDYW7B}

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	2026-05-18T00:03:10.983052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c5d1e87ef8e2ed789b521cf658f16f84e39fc4a3403d293db4d12146af1c901

Aliases

arxiv: 1810.06948 · arxiv_version: 1810.06948v1 · doi: 10.48550/arxiv.1810.06948 · pith_short_12: BROR5B7PRYXN · pith_short_16: BROR5B7PRYXNPCNV · pith_short_8: BROR5B7P

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/BROR5B7PRYXNPCNVEHHWLDYW7B \
  | 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: 0c5d1e87ef8e2ed789b521cf658f16f84e39fc4a3403d293db4d12146af1c901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "661e9982d4276ad7f449a914718f6628232eacaf6c8dceb2501100c9b66b82d2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-10-16T12:18:21Z",
    "title_canon_sha256": "095952dfba2b23f3f679bf101f81d948912f815067c4ebfce519c3514155a8f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06948",
    "kind": "arxiv",
    "version": 1
  }
}