pith. sign in
Pith Number

pith:ZFV3BKJ2

pith:2015:ZFV3BKJ2YD6CE4XGD7N22JLWRI
not attested not anchored not stored refs pending

Chebyshev polynomials on generalized Julia sets

G\"okalp Alpan

arxiv:1504.08278 v1 · 2015-04-30 · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZFV3BKJ2YD6CE4XGD7N22JLWRI}

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 2026-05-18T01:06:41.102064Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c96bb0a93ac0fc2272e61fdbad25768a154df3da8e634df57787f9f98f6b25c2

Aliases

arxiv: 1504.08278 · arxiv_version: 1504.08278v1 · doi: 10.48550/arxiv.1504.08278 · pith_short_12: ZFV3BKJ2YD6C · pith_short_16: ZFV3BKJ2YD6CE4XG · pith_short_8: ZFV3BKJ2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZFV3BKJ2YD6CE4XGD7N22JLWRI \
  | 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: c96bb0a93ac0fc2272e61fdbad25768a154df3da8e634df57787f9f98f6b25c2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "49306931a38ef57324930e7f63f85d3e37cf20112516905115487874a14376c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-04-30T15:45:30Z",
    "title_canon_sha256": "f4db768a8a0f586799d2b9fa355a75d233163236e16663626569202c640d48f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08278",
    "kind": "arxiv",
    "version": 1
  }
}