Pith Number

pith:W2RXPEHP

pith:2025:W2RXPEHPSSKOOKQHHERBQF7SEL

not attested not anchored not stored refs pending

Erd\H{o}s-Kac type theorem for the number of scattering geodesics on modular surface

Punya Plaban Satpathy, Sudhir Pujahari

arxiv:2506.07474 v1 · 2025-06-09 · math.NT · 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{W2RXPEHPSSKOOKQHHERBQF7SEL}

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	2026-07-05T11:18:27.929411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6a37790ef9494e72a0739221817f222c756e016a230844d2abc566aa601ef1b

Aliases

arxiv: 2506.07474 · arxiv_version: 2506.07474v1 · doi: 10.48550/arxiv.2506.07474 · pith_short_12: W2RXPEHPSSKO · pith_short_16: W2RXPEHPSSKOOKQH · pith_short_8: W2RXPEHP

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/W2RXPEHPSSKOOKQHHERBQF7SEL \
  | 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: b6a37790ef9494e72a0739221817f222c756e016a230844d2abc566aa601ef1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff212ddffd7df45d10035bb1c0aace4760b08b8229707b1f695489f81d6176ca",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-09T06:49:43Z",
    "title_canon_sha256": "329230f2e324f26db7e4c852bd35d36bac43d9b900a8f41590b986b3e3437fcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07474",
    "kind": "arxiv",
    "version": 1
  }
}