Pith Number

pith:T6C7GM2W

pith:2014:T6C7GM2WDKI5RIFXONV2P4SXXR

not attested not anchored not stored refs pending

A Brun-Titchmarsh inequality for weighted sums over prime numbers

Jan B\"uthe

arxiv:1410.7561 v2 · 2014-10-28 · 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{T6C7GM2WDKI5RIFXONV2P4SXXR}

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	2026-05-18T01:27:38.544706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f85f333561a91d8a0b7736ba7f257bc793fb0b3bf134f2bfca53e40553cef38

Aliases

arxiv: 1410.7561 · arxiv_version: 1410.7561v2 · doi: 10.48550/arxiv.1410.7561 · pith_short_12: T6C7GM2WDKI5 · pith_short_16: T6C7GM2WDKI5RIFX · pith_short_8: T6C7GM2W

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/T6C7GM2WDKI5RIFXONV2P4SXXR \
  | 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: 9f85f333561a91d8a0b7736ba7f257bc793fb0b3bf134f2bfca53e40553cef38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f1472197a236897f662fe404bdfa8904b24fcd3dd08e7f1fd4851cd1a9281d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-28T09:11:35Z",
    "title_canon_sha256": "71ed59efec2ce35ea5e81508b071c6defa285a357b2684573cd15648b3029d41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7561",
    "kind": "arxiv",
    "version": 2
  }
}