Pith Number

pith:AFI7BH7L

pith:2008:AFI7BH7LGZYDWJUZ2KGEJ773HR

not attested not anchored not stored refs pending

Frequency locking in the injection-locked frequency divider equation

Guido Gentile, Jonathan H.B. Deane, Michele V. Bartuccelli

arxiv:0807.3489 v1 · 2008-07-22 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFI7BH7LGZYDWJUZ2KGEJ773HR}

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	2026-05-18T02:55:57.853007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0151f09feb36703b2699d28c44fffb3c69768daa35eb295a6fa3b59b560a5e65

Aliases

arxiv: 0807.3489 · arxiv_version: 0807.3489v1 · doi: 10.48550/arxiv.0807.3489 · pith_short_12: AFI7BH7LGZYD · pith_short_16: AFI7BH7LGZYDWJUZ · pith_short_8: AFI7BH7L

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/AFI7BH7LGZYDWJUZ2KGEJ773HR \
  | 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: 0151f09feb36703b2699d28c44fffb3c69768daa35eb295a6fa3b59b560a5e65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39b56823a42c788f7ca71991a5b08d1417e00a0e9a1277af7d91636979c0d79c",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-07-22T14:38:04Z",
    "title_canon_sha256": "28c3282ec72ec6477282b75ad1e27d6329814a0d43f742fd0da6280cbba3d6c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.3489",
    "kind": "arxiv",
    "version": 1
  }
}