Pith Number

pith:OILQZQ5W

pith:2016:OILQZQ5WQS4Q7YYF4WN4YOQ4FS

not attested not anchored not stored refs pending

Bounded Gaps Between Products of Distinct Primes

Peter S. Park, Yang P. Liu, Zhuo Qun Song

arxiv:1607.03887 v3 · 2016-07-13 · 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{OILQZQ5WQS4Q7YYF4WN4YOQ4FS}

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	2026-05-18T00:21:14.918232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72170cc3b684b90fe305e59bcc3a1c2cba6b836a14e5c3708190a8017ba00038

Aliases

arxiv: 1607.03887 · arxiv_version: 1607.03887v3 · doi: 10.48550/arxiv.1607.03887 · pith_short_12: OILQZQ5WQS4Q · pith_short_16: OILQZQ5WQS4Q7YYF · pith_short_8: OILQZQ5W

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/OILQZQ5WQS4Q7YYF4WN4YOQ4FS \
  | 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: 72170cc3b684b90fe305e59bcc3a1c2cba6b836a14e5c3708190a8017ba00038

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d658f1cf69fba528a8d4d67c231dd9e682216ac886ca7083852fabdb254e0605",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-13T19:58:09Z",
    "title_canon_sha256": "17d430658de65f2b3f5d2fa3e255b23d79dcfd0608d85d678bae51ce1c726a67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03887",
    "kind": "arxiv",
    "version": 3
  }
}