Pith Number

pith:CZTB3WFV

pith:2025:CZTB3WFV75HQ3AJZNCQX2OGKTX

not attested not anchored not stored refs pending

Counting and equidistribution of strongly reversible closed geodesics in negative curvature

Fr\'ed\'eric Paulin, Jouni Parkkonen

arxiv:2505.07738 v1 · 2025-05-12 · 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{CZTB3WFV75HQ3AJZNCQX2OGKTX}

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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

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups

Receipt and verification

First computed	2026-07-05T11:01:52.500690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16661dd8b5ff4f0d813968a17d38ca9df894acafe7b73a4ca58aee914e0783e8

Aliases

arxiv: 2505.07738 · arxiv_version: 2505.07738v1 · doi: 10.48550/arxiv.2505.07738 · pith_short_12: CZTB3WFV75HQ · pith_short_16: CZTB3WFV75HQ3AJZ · pith_short_8: CZTB3WFV

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/CZTB3WFV75HQ3AJZNCQX2OGKTX \
  | 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: 16661dd8b5ff4f0d813968a17d38ca9df894acafe7b73a4ca58aee914e0783e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "addd5fb5777fa21e05978b7c8ea9903261611344d7b9832974ae9150ee0e6515",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-05-12T16:49:28Z",
    "title_canon_sha256": "8faf6bb98a861d3a5d177b48633cea5e32823ab6a7951ac6294f6d1446791d06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.07738",
    "kind": "arxiv",
    "version": 1
  }
}