Pith Number

pith:U6AG5WBJ

pith:2025:U6AG5WBJSPDMKWXJPAJSXDHUYG

not attested not anchored not stored refs pending

Prime scattering geodesic theorem

Punya Plaban Satpathy, Sudhir Pujahari

arxiv:2505.04973 v1 · 2025-05-08 · 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{U6AG5WBJSPDMKWXJPAJSXDHUYG}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T11:00:17.019252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7806ed82993c6c55ae978132b8cf4c1846494cf08dc969b7345c5ced069bb7e

Aliases

arxiv: 2505.04973 · arxiv_version: 2505.04973v1 · doi: 10.48550/arxiv.2505.04973 · pith_short_12: U6AG5WBJSPDM · pith_short_16: U6AG5WBJSPDMKWXJ · pith_short_8: U6AG5WBJ

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/U6AG5WBJSPDMKWXJPAJSXDHUYG \
  | 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: a7806ed82993c6c55ae978132b8cf4c1846494cf08dc969b7345c5ced069bb7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0420d20dc31ab4de1db663909fc467a50b0bdc664134147b08b7ffce705b3a0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-08T06:18:13Z",
    "title_canon_sha256": "9c46f4e4da612a51ecff438739aea2b15584807cda97cb4806ed6c01bddb40cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04973",
    "kind": "arxiv",
    "version": 1
  }
}