Pith Number

pith:OMULC344

pith:2014:OMULC344CXDNDM4HF3U5IVDFUG

not attested not anchored not stored refs pending

Gaps of Smallest Possible Order between Primes in an Arithmetic Progression

Liangyi Zhao, Roger C. Baker

arxiv:1412.0574 v4 · 2014-12-01 · 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{OMULC344CXDNDM4HF3U5IVDFUG}

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	2026-05-18T01:22:03.275128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7328b16f9c15c6d1b3872ee9d45465a1af0559c3c4bdcace851884de7cfc8d16

Aliases

arxiv: 1412.0574 · arxiv_version: 1412.0574v4 · doi: 10.48550/arxiv.1412.0574 · pith_short_12: OMULC344CXDN · pith_short_16: OMULC344CXDNDM4H · pith_short_8: OMULC344

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/OMULC344CXDNDM4HF3U5IVDFUG \
  | 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: 7328b16f9c15c6d1b3872ee9d45465a1af0559c3c4bdcace851884de7cfc8d16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d973bf1646dff95585906860b1c1626f8924bba45087ce5b8f530b508221e28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-01T18:29:52Z",
    "title_canon_sha256": "9f1e5110e88f28e20f82188ac279e5af394e848cca6eac91fe4a18aa7426be9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0574",
    "kind": "arxiv",
    "version": 4
  }
}