Pith Number

pith:SRPROTEO

pith:2013:SRPROTEOPPDTJT3EZ6OSPYRJ2V

not attested not anchored not stored refs pending

Two Combinatorial Geometric Problems Involving Modular Hyperbolas

Arne Winterhof, Mizan R. Khan, Richard Magner, Steven Senger

arxiv:1304.6943 v2 · 2013-04-25 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SRPROTEOPPDTJT3EZ6OSPYRJ2V}

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	2026-05-18T03:19:58.793294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

945f174c8e7bc734cf64cf9d27e229d55f36c2a7182e42de9b74aa2cff872e67

Aliases

arxiv: 1304.6943 · arxiv_version: 1304.6943v2 · doi: 10.48550/arxiv.1304.6943 · pith_short_12: SRPROTEOPPDT · pith_short_16: SRPROTEOPPDTJT3E · pith_short_8: SRPROTEO

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/SRPROTEOPPDTJT3EZ6OSPYRJ2V \
  | 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: 945f174c8e7bc734cf64cf9d27e229d55f36c2a7182e42de9b74aa2cff872e67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52c9bc7112236af4b246555bdffbfa4f15d7e26406cae11929910cbc0c69f55e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-25T15:53:18Z",
    "title_canon_sha256": "070649c44bea02afcbcd436027416c9d0befe37347777e1ee46f0ac7d271999b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6943",
    "kind": "arxiv",
    "version": 2
  }
}