Pith Number

pith:2FCDICZ3

pith:2013:2FCDICZ35NNNAWVZMK3SGZ5V2V

not attested not anchored not stored refs pending

A variant of the Bombieri-Vinogradov theorem with explicit constants and applications

Amir Akbary, Kyle Hambrook

arxiv:1309.2730 v2 · 2013-09-11 · 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{2FCDICZ35NNNAWVZMK3SGZ5V2V}

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	2026-05-18T03:05:36.217997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d144340b3beb5ad05ab962b72367b5d543f9d709842be4ffe7f148267e2a207f

Aliases

arxiv: 1309.2730 · arxiv_version: 1309.2730v2 · doi: 10.48550/arxiv.1309.2730 · pith_short_12: 2FCDICZ35NNN · pith_short_16: 2FCDICZ35NNNAWVZ · pith_short_8: 2FCDICZ3

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/2FCDICZ35NNNAWVZMK3SGZ5V2V \
  | 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: d144340b3beb5ad05ab962b72367b5d543f9d709842be4ffe7f148267e2a207f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "520f6a6910a4dcd883446bd27261f4d36deae04a52370f2f93dcdc9213b6596f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-11T04:34:24Z",
    "title_canon_sha256": "38913c7a5187880b831f112eaeb07a00c0e42fb9a2ab9d8f8d264e47fa6bb88d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2730",
    "kind": "arxiv",
    "version": 2
  }
}