Pith Number

pith:BLUBYO76

pith:2025:BLUBYO76ERMJDAFCI2KYJ46YBU

not attested not anchored not stored refs pending

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

Kamalakshya Mahatab

arxiv:2504.17032 v2 · 2025-04-23 · 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{BLUBYO76ERMJDAFCI2KYJ46YBU}

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	2026-07-05T12:04:14.882446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ae81c3bfe24589180a2469584f3d80d18fd6cedda13fcaca17c7663e950e2df

Aliases

arxiv: 2504.17032 · arxiv_version: 2504.17032v2 · doi: 10.48550/arxiv.2504.17032 · pith_short_12: BLUBYO76ERMJ · pith_short_16: BLUBYO76ERMJDAFC · pith_short_8: BLUBYO76

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/BLUBYO76ERMJDAFCI2KYJ46YBU \
  | 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: 0ae81c3bfe24589180a2469584f3d80d18fd6cedda13fcaca17c7663e950e2df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afe910004e6e855b77b0039e1a72b63d20aee06e507b081919bca2fa9e3b2755",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-23T18:24:00Z",
    "title_canon_sha256": "7623a1bc8b68fbf933a819f5977d8649e65d6018d22e0a7b11fd3d562b400241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.17032",
    "kind": "arxiv",
    "version": 2
  }
}