Pith Number

pith:LZCMBJO6

pith:2022:LZCMBJO6FE5CLMO76SUONJDXES

not attested not anchored not stored refs pending

On large differences between consecutive primes

Olli J\"arviniemi

arxiv:2212.10965 v2 · 2022-12-21 · 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{LZCMBJO6FE5CLMO76SUONJDXES}

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.

Cited by

1 paper in Pith

Gaps in Multiplicative Sidon Sets II

Receipt and verification

First computed	2026-07-05T05:29:04.793738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e44c0a5de293a25b1dff4a8e6a477249e6cde64134f81e9dad56a4790c01cca

Aliases

arxiv: 2212.10965 · arxiv_version: 2212.10965v2 · doi: 10.48550/arxiv.2212.10965 · pith_short_12: LZCMBJO6FE5C · pith_short_16: LZCMBJO6FE5CLMO7 · pith_short_8: LZCMBJO6

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/LZCMBJO6FE5CLMO76SUONJDXES \
  | 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: 5e44c0a5de293a25b1dff4a8e6a477249e6cde64134f81e9dad56a4790c01cca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e95c0d0e7010d43e91fa8e340b7293392a44785d8eb7d90110d66114899ded9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-12-21T12:09:14Z",
    "title_canon_sha256": "6f9da55c31a43ef4300479f2ecd8d2f86e936cbaeadd66e42911c51585dcb4b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.10965",
    "kind": "arxiv",
    "version": 2
  }
}