Pith. sign in
Pith Number

pith:4ECC5NUY

pith:2025:4ECC5NUYK5IGZWH6EGDVQRPZ43
not attested not anchored not stored refs pending

Learning with Mandelbrot and Julia

E.R.M. Putri, H. Susanto, S.F. Feng, V.R. Tjahjono

arxiv:2509.00903 v1 · 2025-08-31 · nlin.CD · cs.LG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4ECC5NUYK5IGZWH6EGDVQRPZ43}

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 2026-07-05T12:02:24.469162Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e1042eb69857506cd8fe21875845f9e6f516016eeac72ae3911c0be1c1e1c88a

Aliases

arxiv: 2509.00903 · arxiv_version: 2509.00903v1 · doi: 10.48550/arxiv.2509.00903 · pith_short_12: 4ECC5NUYK5IG · pith_short_16: 4ECC5NUYK5IGZWH6 · pith_short_8: 4ECC5NUY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4ECC5NUYK5IGZWH6EGDVQRPZ43 \
  | 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: e1042eb69857506cd8fe21875845f9e6f516016eeac72ae3911c0be1c1e1c88a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4ce51e666d0e9122924080ad5fca0235ce6b67a45e3f66c9b752bc709caae00b",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2025-08-31T15:34:02Z",
    "title_canon_sha256": "fbb6d6f7a8451a6f99e59e405688971b4f8fb6e05d118645256b4fef28da028a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00903",
    "kind": "arxiv",
    "version": 1
  }
}