Pith Number

pith:IGWOW7YG

pith:2026:IGWOW7YGQGT2D6RNMCCMXPTHRZ

not attested not anchored not stored refs pending

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

Kostiantyn Drach, Leticia Pardo-Sim\'on, Sabyasachi Mukherjee

arxiv:2607.06090 v1 · 2026-07-07 · math.DS · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGWOW7YGQGT2D6RNMCCMXPTHRZ}

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	2026-07-08T01:18:56.386609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41aceb7f0681a7a1fa2d6084cbbe678e4c5684fca5b48ed981fc828996a6680f

Aliases

arxiv: 2607.06090 · arxiv_version: 2607.06090v1 · doi: 10.48550/arxiv.2607.06090 · pith_short_12: IGWOW7YGQGT2 · pith_short_16: IGWOW7YGQGT2D6RN · pith_short_8: IGWOW7YG

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/IGWOW7YGQGT2D6RNMCCMXPTHRZ \
  | 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: 41aceb7f0681a7a1fa2d6084cbbe678e4c5684fca5b48ed981fc828996a6680f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e7235469226ad11b01f763af02ba1bf620402d609d18b56e65011c77889d03a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-07T10:03:17Z",
    "title_canon_sha256": "49189f9dd7392a2a21b4d32a908265875833b5bad937ec625eff23e7398ff2ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06090",
    "kind": "arxiv",
    "version": 1
  }
}