Pith Number

pith:IJHUOGQ7

pith:2015:IJHUOGQ7GXRVWMUQJT2FUKATG2

not attested not anchored not stored refs pending

An asymptotic upper bound on prime gaps

Andr\'e LeClair

arxiv:1506.03359 v3 · 2015-06-10 · math.NT · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJHUOGQ7GXRVWMUQJT2FUKATG2}

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	2026-05-18T01:30:50.887795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

424f471a1f35e35b32904cf45a2813369595dc0fbc111606df76272b359d7f81

Aliases

arxiv: 1506.03359 · arxiv_version: 1506.03359v3 · doi: 10.48550/arxiv.1506.03359 · pith_short_12: IJHUOGQ7GXRV · pith_short_16: IJHUOGQ7GXRVWMUQ · pith_short_8: IJHUOGQ7

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/IJHUOGQ7GXRVWMUQJT2FUKATG2 \
  | 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: 424f471a1f35e35b32904cf45a2813369595dc0fbc111606df76272b359d7f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8455080a8f3fccebb4ffe1ce658adb38575a92a8ea4a047718fc3b9de86550b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-10T15:25:12Z",
    "title_canon_sha256": "6b2f43fcee79d15b5b754ca3f473f3731e69e558e24164a0d8dfa2a9d9d6f212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03359",
    "kind": "arxiv",
    "version": 3
  }
}