Pith Number

pith:IGCDN3VZ

pith:2023:IGCDN3VZSI652Q2UXD6QG5OWKC

not attested not anchored not stored refs pending

Mirrors of conformal dynamics: Interplay between anti-rational maps, reflection groups, Schwarz reflections, and correspondences

Mikhail Lyubich, Sabyasachi Mukherjee

arxiv:2310.03316 v3 · 2023-10-05 · math.DS · math.CV · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGCDN3VZSI652Q2UXD6QG5OWKC}

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	2026-05-27T01:04:46.512172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

418436eeb9923ddd4354b8fd0375d6508f66066305d9f7c8b101074defd11b32

Aliases

arxiv: 2310.03316 · arxiv_version: 2310.03316v3 · doi: 10.48550/arxiv.2310.03316 · pith_short_12: IGCDN3VZSI65 · pith_short_16: IGCDN3VZSI652Q2U · pith_short_8: IGCDN3VZ

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/IGCDN3VZSI652Q2UXD6QG5OWKC \
  | 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: 418436eeb9923ddd4354b8fd0375d6508f66066305d9f7c8b101074defd11b32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c253a50642c8c938d40fa16704b70ae873278f29ff263cd4e3e640a07dcec02",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-10-05T05:20:36Z",
    "title_canon_sha256": "5ee1b8ee263b4fef87f9b20b8dca9973674fc945368a0f50088909adccb0d86e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.03316",
    "kind": "arxiv",
    "version": 3
  }
}