Pith Number

pith:KPKMGTSH

pith:2017:KPKMGTSHO2WVI4Q2TCRFMKAIHH

not attested not anchored not stored refs pending

Solution of the Gardner problem on the lock-in range of phase-locked loop

G.A. Leonov, M.V. Yuldashev, N.V. Kuznetsov, R.V. Yuldashev

arxiv:1705.05013 v1 · 2017-05-14 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPKMGTSHO2WVI4Q2TCRFMKAIHH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:44:33.048916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53d4c34e4776ad54721a98a256280839e5bc98d036941e1f16c763cb41271837

Aliases

arxiv: 1705.05013 · arxiv_version: 1705.05013v1 · doi: 10.48550/arxiv.1705.05013 · pith_short_12: KPKMGTSHO2WV · pith_short_16: KPKMGTSHO2WVI4Q2 · pith_short_8: KPKMGTSH

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/KPKMGTSHO2WVI4Q2TCRFMKAIHH \
  | 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: 53d4c34e4776ad54721a98a256280839e5bc98d036941e1f16c763cb41271837

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5797a47f5466d1da90fa85141ff5bd00d7667577e65291b28951cb51e6607461",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-05-14T18:44:15Z",
    "title_canon_sha256": "c7182bb234e94d8922e66c04499d79893d74a9ed82a3900c8ac8607686ef79e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05013",
    "kind": "arxiv",
    "version": 1
  }
}