Pith Number

pith:HYALLRE6

pith:2025:HYALLRE6EM74YSRQH3N4TZU2ZU

not attested not anchored not stored refs pending

The Zsiflaw--Legeis theorem for arbitrary bases

Gautami Bhowmik, Yuta Suzuki

arxiv:2507.08714 v1 · 2025-07-11 · 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{HYALLRE6EM74YSRQH3N4TZU2ZU}

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

2 papers in Pith

The reverse Goldbach problem and a refined Zsiflaw--Legeis theorem

Receipt and verification

First computed	2026-07-05T11:35:45.348867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e00b5c49e233fcc4a303edbc9e69acd2b102a5c9e3777b68b84a37f52cf9e63

Aliases

arxiv: 2507.08714 · arxiv_version: 2507.08714v1 · doi: 10.48550/arxiv.2507.08714 · pith_short_12: HYALLRE6EM74 · pith_short_16: HYALLRE6EM74YSRQ · pith_short_8: HYALLRE6

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/HYALLRE6EM74YSRQH3N4TZU2ZU \
  | 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: 3e00b5c49e233fcc4a303edbc9e69acd2b102a5c9e3777b68b84a37f52cf9e63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87094b9a2250d93431d67da0a42cfdd72f21d587365d2ba46e0215bf572614c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-11T16:15:38Z",
    "title_canon_sha256": "bb643c41c5f6d750f37c8c74ad0b86f464b7eaa927f93c968ca2d9a4a54e2b59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08714",
    "kind": "arxiv",
    "version": 1
  }
}