Pith Number

pith:EAYVJIGF

pith:2018:EAYVJIGFOOMKBMVYPK52VIMD57

not attested not anchored not stored refs pending

Schwarz reflections and the Tricorn

Mikhail Lyubich, Nikolai G. Makarov, Sabyasachi Mukherjee, Seung-Yeop Lee

arxiv:1812.01573 v3 · 2018-12-04 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EAYVJIGFOOMKBMVYPK52VIMD57}

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.

Cited by

1 paper in Pith

Univalent Polynomials and Hubbard Trees

Receipt and verification

First computed	2026-07-05T11:47:55.071779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

203154a0c57398a0b2b87abbaaa183efee38543ecaef2222caacb5569816d085

Aliases

arxiv: 1812.01573 · arxiv_version: 1812.01573v3 · doi: 10.48550/arxiv.1812.01573 · pith_short_12: EAYVJIGFOOMK · pith_short_16: EAYVJIGFOOMKBMVY · pith_short_8: EAYVJIGF

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/EAYVJIGFOOMKBMVYPK52VIMD57 \
  | 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: 203154a0c57398a0b2b87abbaaa183efee38543ecaef2222caacb5569816d085

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bf4439ca0ca9da67d135f4fb70041ea682849234903b539a6fba974049fe21e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-12-04T18:25:24Z",
    "title_canon_sha256": "f2bc0ad6a038e63d09aad8774cd4ec91f9d7b03eef07f5ed30c4425d714ee52b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01573",
    "kind": "arxiv",
    "version": 3
  }
}