Pith Number

pith:WS6BKJTU

pith:2019:WS6BKJTUXJYDZBV2D7CRJHOIQL

not attested not anchored not stored refs pending

Julia and Mandelbrot sets for dynamics over the hyperbolic numbers

Aaron Shukert, Patrick D. Shipman, Tristan Rendfrey, Vance Blankers

arxiv:1901.02085 v1 · 2019-01-07 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WS6BKJTUXJYDZBV2D7CRJHOIQL}

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	2026-05-17T23:56:44.029810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4bc152674ba703c86ba1fc5149dc882d5b0e7bd5d8d0f2940c74e45a1f38614

Aliases

arxiv: 1901.02085 · arxiv_version: 1901.02085v1 · doi: 10.48550/arxiv.1901.02085 · pith_short_12: WS6BKJTUXJYD · pith_short_16: WS6BKJTUXJYDZBV2 · pith_short_8: WS6BKJTU

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/WS6BKJTUXJYDZBV2D7CRJHOIQL \
  | 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: b4bc152674ba703c86ba1fc5149dc882d5b0e7bd5d8d0f2940c74e45a1f38614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8daa0f20c16fd93f63bb38ee5e043f29e2f270e5584bc73708fabb4aa85928f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-07T22:38:56Z",
    "title_canon_sha256": "01593fff9c4e80e99e85803b367d6988c6253dcdaa27304a1abf9ae1f13da30b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.02085",
    "kind": "arxiv",
    "version": 1
  }
}