Pith Number

pith:YDE36BV3

pith:2017:YDE36BV3WGHNZDSH4TGRJOKSDK

not attested not anchored not stored refs pending

Goldbach Representations in Arithmetic Progressions and zeros of Dirichlet L-functions

Gautami Bhowmik, Karin Halupczok, Kohji Matsumoto, Yuta Suzuki

arxiv:1704.06103 v2 · 2017-04-20 · 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{YDE36BV3WGHNZDSH4TGRJOKSDK}

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	2026-05-17T23:53:12.783090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0c9bf06bbb18edc8e47e4cd14b9521aa7dc868e762118dbd5d29ec4c63e6bce

Aliases

arxiv: 1704.06103 · arxiv_version: 1704.06103v2 · doi: 10.48550/arxiv.1704.06103 · pith_short_12: YDE36BV3WGHN · pith_short_16: YDE36BV3WGHNZDSH · pith_short_8: YDE36BV3

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/YDE36BV3WGHNZDSH4TGRJOKSDK \
  | 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: c0c9bf06bbb18edc8e47e4cd14b9521aa7dc868e762118dbd5d29ec4c63e6bce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efa8fdc937488cd2a49a9a8738dd3a68d5199bf204715cc929bc8ae1e2206b04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-20T12:17:59Z",
    "title_canon_sha256": "0fd7c44687c31bdbc28ed149a6c3ee57642827f8abb0fdf7e4a4e3e5dbaea4f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06103",
    "kind": "arxiv",
    "version": 2
  }
}