Pith Number

pith:TK5P2R6X

pith:2015:TK5P2R6XDGBWDMJYYJ4VS3IHR4

not attested not anchored not stored refs pending

A note on the distribution of normalized prime gaps

J\'anos Pintz

arxiv:1510.04577 v1 · 2015-10-15 · 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{TK5P2R6XDGBWDMJYYJ4VS3IHR4}

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	2026-05-18T01:30:06.796502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9abafd47d7198361b138c279596d078f183d8f644a4f52be5013b97e796f74c2

Aliases

arxiv: 1510.04577 · arxiv_version: 1510.04577v1 · doi: 10.48550/arxiv.1510.04577 · pith_short_12: TK5P2R6XDGBW · pith_short_16: TK5P2R6XDGBWDMJY · pith_short_8: TK5P2R6X

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/TK5P2R6XDGBWDMJYYJ4VS3IHR4 \
  | 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: 9abafd47d7198361b138c279596d078f183d8f644a4f52be5013b97e796f74c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e5fe37f520e01a39ec8c765bd0fe9d10317fbbf560590031be5b210b871bd53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-15T15:19:07Z",
    "title_canon_sha256": "f50216ac4ca484640d4427be31e82f20f79880d62fa247eb3648876a640be43f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04577",
    "kind": "arxiv",
    "version": 1
  }
}