Pith Number

pith:ZH36YG2R

pith:2017:ZH36YG2RSTNVPUS6EMA5IYJTCZ

not attested not anchored not stored refs pending

Average Goldbach and the Quasi-Riemann Hypothesis

Gautami Bhowmik, Imre Z. Ruzsa

arxiv:1711.06442 v1 · 2017-11-17 · 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{ZH36YG2RSTNVPUS6EMA5IYJTCZ}

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	2026-05-18T00:30:21.055823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9f7ec1b5194db57d25e2301d4613316413d2d31c56e137e989d1480864b7350

Aliases

arxiv: 1711.06442 · arxiv_version: 1711.06442v1 · doi: 10.48550/arxiv.1711.06442 · pith_short_12: ZH36YG2RSTNV · pith_short_16: ZH36YG2RSTNVPUS6 · pith_short_8: ZH36YG2R

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/ZH36YG2RSTNVPUS6EMA5IYJTCZ \
  | 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: c9f7ec1b5194db57d25e2301d4613316413d2d31c56e137e989d1480864b7350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3328db0c740b9caa785bd0966c7f275c34bef7ceaacd4139dab824163edca41f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-17T07:47:05Z",
    "title_canon_sha256": "72147a67eac0f0f159c031f0bdbcdb8e1eb2a89599329ffec3175c97aa2ae877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06442",
    "kind": "arxiv",
    "version": 1
  }
}