Pith Number

pith:HQQTTFRJ

pith:2024:HQQTTFRJOD55KWDD4337THHOV2

not attested not anchored not stored refs pending

A general dynamical theory of Schwarz reflections, B-involutions, and algebraic correspondences

Mikhail Lyubich, Sabyasachi Mukherjee, Yusheng Luo

arxiv:2408.00204 v1 · 2024-08-01 · math.DS · math.CV · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQQTTFRJOD55KWDD4337THHOV2}

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

2 papers in Pith

Combining cusped triangle groups with Blaschke products: commensurable matings

Transcendental correspondences: when Fuchsian groups take over basins of entire maps

Receipt and verification

First computed	2026-07-05T08:50:59.987807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c2139962970fbd55863e6f7f99ceeae944d7983ee5c9f784060c9e14b598b0b

Aliases

arxiv: 2408.00204 · arxiv_version: 2408.00204v1 · doi: 10.48550/arxiv.2408.00204 · pith_short_12: HQQTTFRJOD55 · pith_short_16: HQQTTFRJOD55KWDD · pith_short_8: HQQTTFRJ

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/HQQTTFRJOD55KWDD4337THHOV2 \
  | 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: 3c2139962970fbd55863e6f7f99ceeae944d7983ee5c9f784060c9e14b598b0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b09ae3792ccec753733844c15fd707cc75b3cf16fae44f5ea79a3dd7edd93ef5",
    "cross_cats_sorted": [
      "math.CV",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-08-01T00:09:18Z",
    "title_canon_sha256": "65da631792c10e5b730af6b4958beb6f465b630e2284f370bc406b01b8988d0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.00204",
    "kind": "arxiv",
    "version": 1
  }
}