Pith Number

pith:RDQ6OPEX

pith:2025:RDQ6OPEXKDC65RNES3W64ZIZZE

not attested not anchored not stored refs pending

The hyperbolic circle problem over Heegner points

Dimitrios Chatzakos, Giacomo Cherubini, Morten S. Risager, Stephen Lester

arxiv:2506.13883 v1 · 2025-06-16 · 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{RDQ6OPEXKDC65RNES3W64ZIZZE}

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

Quadratic forms of modular forms

Receipt and verification

First computed	2026-07-05T11:22:45.185058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88e1e73c9750c5eec5a496edee6519c935f1eb68de90ce2fe3a3508ce275c599

Aliases

arxiv: 2506.13883 · arxiv_version: 2506.13883v1 · doi: 10.48550/arxiv.2506.13883 · pith_short_12: RDQ6OPEXKDC6 · pith_short_16: RDQ6OPEXKDC65RNE · pith_short_8: RDQ6OPEX

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/RDQ6OPEXKDC65RNES3W64ZIZZE \
  | 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: 88e1e73c9750c5eec5a496edee6519c935f1eb68de90ce2fe3a3508ce275c599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42aa1e8c497cf6e65d878ac930391631f8087a0e1dd85076f3c93818e8bec499",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-16T18:02:38Z",
    "title_canon_sha256": "a047c08568bdb00827cb69d0a040bbd29d9611fe4dba129f8ef6be603dfe46cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.13883",
    "kind": "arxiv",
    "version": 1
  }
}