Pith Number

pith:IYJIY4N7

pith:2018:IYJIY4N7RC4NA3M3UDBCMMKSP7

not attested not anchored not stored refs pending

Dynamics of Schwarz reflections: the mating phenomena

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

arxiv:1811.04979 v3 · 2018-11-12 · 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{IYJIY4N7RC4NA3M3UDBCMMKSP7}

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	2026-07-05T10:59:21.525296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46128c71bf88b8d06d9ba0c22631527fc135c61d975833aebf3c61767f2a7ca5

Aliases

arxiv: 1811.04979 · arxiv_version: 1811.04979v3 · doi: 10.48550/arxiv.1811.04979 · pith_short_12: IYJIY4N7RC4N · pith_short_16: IYJIY4N7RC4NA3M3 · pith_short_8: IYJIY4N7

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/IYJIY4N7RC4NA3M3UDBCMMKSP7 \
  | 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: 46128c71bf88b8d06d9ba0c22631527fc135c61d975833aebf3c61767f2a7ca5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b80703ed483586bb94aa293a2e62b3d29fce5b37dfa43b2ac8a55df5231ea9f3",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-11-12T19:44:59Z",
    "title_canon_sha256": "ce8a55fbaeecd5dc72bd4a4ab6fd8df331ecc3509dbcc0975c514e1f2de95a08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04979",
    "kind": "arxiv",
    "version": 3
  }
}