Pith Number

pith:P6Q3BCUK

pith:2019:P6Q3BCUKXJTRRKYHUOURUSKH6B

not attested not anchored not stored refs pending

Consecutive square-free values of the form $\mathbf{[\alpha p], [\alpha p]+1}$

S. I. Dimitrov

arxiv:1907.03721 v1 · 2019-07-03 · 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{P6Q3BCUKXJTRRKYHUOURUSKH6B}

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	2026-05-17T23:41:13.947705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fa1b08a8aba6718ab07a3a91a4947f0526eced51bf398659ef20e5bcc25e9ee

Aliases

arxiv: 1907.03721 · arxiv_version: 1907.03721v1 · doi: 10.48550/arxiv.1907.03721 · pith_short_12: P6Q3BCUKXJTR · pith_short_16: P6Q3BCUKXJTRRKYH · pith_short_8: P6Q3BCUK

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/P6Q3BCUKXJTRRKYHUOURUSKH6B \
  | 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: 7fa1b08a8aba6718ab07a3a91a4947f0526eced51bf398659ef20e5bcc25e9ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "464d7a90e147b8a68f653a544ab95065002198beefba13c5065d6d1197b6f372",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-03T07:50:13Z",
    "title_canon_sha256": "74f785bcd8ef2668d1b0d8b1c83f56a74112caad76990f3ec5136fdb4731ae40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03721",
    "kind": "arxiv",
    "version": 1
  }
}