Pith Number

pith:IQZ3K4WD

pith:2026:IQZ3K4WDMLSBX5F2KT37ZDJ7GQ

not attested not anchored not stored refs pending

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$

F\'elix Lequen, Tuomas Sahlsten

arxiv:2607.18010 v1 · 2026-07-20 · math.DS · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQZ3K4WDMLSBX5F2KT37ZDJ7GQ}

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	2026-07-21T02:22:11.610007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4433b572c362e41bf4ba54f7fc8d3f34383f7654d6d474f0ce8aff7a994a57e5

Aliases

arxiv: 2607.18010 · arxiv_version: 2607.18010v1 · doi: 10.48550/arxiv.2607.18010 · pith_short_12: IQZ3K4WDMLSB · pith_short_16: IQZ3K4WDMLSBX5F2 · pith_short_8: IQZ3K4WD

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/IQZ3K4WDMLSBX5F2KT37ZDJ7GQ \
  | 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: 4433b572c362e41bf4ba54f7fc8d3f34383f7654d6d474f0ce8aff7a994a57e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994e44c736258e21c71e2d5070c2d035950dee29da3d470c737963fa2596fe11",
    "cross_cats_sorted": [
      "math.CA",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-20T14:45:30Z",
    "title_canon_sha256": "e78b16d4373ae72ce1518107709bd537d9c7597ec6808966a4d12c74c92ba1d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18010",
    "kind": "arxiv",
    "version": 1
  }
}