Pith Number

pith:4332WUSD

pith:2017:4332WUSDKEIK2H4HZTAJSZTP3E

not attested not anchored not stored refs pending

Optical Costas loop: pull-in range estimation and hidden oscillations

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

arxiv:1705.02319 v1 · 2017-05-05 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4332WUSDKEIK2H4HZTAJSZTP3E}

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	2026-05-18T00:44:58.587405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6f7ab52435110ad1f87ccc099666fd90ece37ef4a578231586b9e221dd14a6c

Aliases

arxiv: 1705.02319 · arxiv_version: 1705.02319v1 · doi: 10.48550/arxiv.1705.02319 · pith_short_12: 4332WUSDKEIK · pith_short_16: 4332WUSDKEIK2H4H · pith_short_8: 4332WUSD

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/4332WUSDKEIK2H4HZTAJSZTP3E \
  | 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: e6f7ab52435110ad1f87ccc099666fd90ece37ef4a578231586b9e221dd14a6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "676f9d18fee1e28b3447159c2f4fe673a3e23f6903a89a110525788302757f22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-05-05T17:41:35Z",
    "title_canon_sha256": "229e30533a1e0fd10157822b0bb8a6040dd91f10734ad39ed4928dfd0c9d926e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02319",
    "kind": "arxiv",
    "version": 1
  }
}