Pith Number

pith:D6JBLWNC

pith:2015:D6JBLWNCVW6SMLLKA3I6YQZNBP

not attested not anchored not stored refs pending

Limitations of the classical phase-locked loop analysis

G. A. Leonov, M. V. Yuldashev, N. V. Kuznetsov, O. A. Kuznetsova, P. Neittaanmaki, R. V. Yuldashev

arxiv:1507.03468 v1 · 2015-07-13 · math.DS · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6JBLWNCVW6SMLLKA3I6YQZNBP}

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	2026-05-18T01:26:57.454984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f9215d9a2adbd262d6a06d1ec432d0bf95310260a33d6b2286bb5c88d226c19

Aliases

arxiv: 1507.03468 · arxiv_version: 1507.03468v1 · doi: 10.48550/arxiv.1507.03468 · pith_short_12: D6JBLWNCVW6S · pith_short_16: D6JBLWNCVW6SMLLK · pith_short_8: D6JBLWNC

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/D6JBLWNCVW6SMLLKA3I6YQZNBP \
  | 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: 1f9215d9a2adbd262d6a06d1ec432d0bf95310260a33d6b2286bb5c88d226c19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a265407182d5662f6fef06adffaf72b00dae2db29561d1b4669793d2ffca4d02",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-13T14:24:29Z",
    "title_canon_sha256": "c8c6e44c77194e33361095def14c5d32b31e293e0eb01004829d2df5bef7f65c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03468",
    "kind": "arxiv",
    "version": 1
  }
}