Pith Number

pith:6KKG557Y

pith:2025:6KKG557YJIBPJA5SNAH2YG26OJ

not attested not anchored not stored refs pending

Omega Estimate for the Lattice Point Discrepancy of a Body of Revolution Using The Resonance Method

Nilmoni Karak

arxiv:2506.22590 v1 · 2025-06-27 · 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{6KKG557YJIBPJA5SNAH2YG26OJ}

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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

Omega Results for The Divisor and Circle Problems Using The Resonance Method

Receipt and verification

First computed	2026-07-05T11:28:41.403076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2946ef7f84a02f483b2680fac1b5e727e53de10d5489c4cb77b54cd2282029b

Aliases

arxiv: 2506.22590 · arxiv_version: 2506.22590v1 · doi: 10.48550/arxiv.2506.22590 · pith_short_12: 6KKG557YJIBP · pith_short_16: 6KKG557YJIBPJA5S · pith_short_8: 6KKG557Y

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/6KKG557YJIBPJA5SNAH2YG26OJ \
  | 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: f2946ef7f84a02f483b2680fac1b5e727e53de10d5489c4cb77b54cd2282029b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8e301a38d53abac42e1c164084d6a8f21cff2dd9bcfe2fec44293ec69e6a798",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-27T19:18:37Z",
    "title_canon_sha256": "618919462965cb149ed048199318f591bde31ced891daaa6d17d53260076a5db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22590",
    "kind": "arxiv",
    "version": 1
  }
}