Pith Number

pith:RPQ5UHDY

pith:2016:RPQ5UHDYZBQMG252KVA5IMHDOG

not attested not anchored not stored refs pending

Additive Energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems

Christoph Aistleitner, Gerhard Larcher, Mark Lewko

arxiv:1606.03591 v3 · 2016-06-11 · math.NT · math-ph · math.CA · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPQ5UHDYZBQMG252KVA5IMHDOG}

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	2026-05-18T01:02:12.640051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8be1da1c78c860c36bba5541d430e371879eed05a82316173abc2eefb675cba5

Aliases

arxiv: 1606.03591 · arxiv_version: 1606.03591v3 · doi: 10.48550/arxiv.1606.03591 · pith_short_12: RPQ5UHDYZBQM · pith_short_16: RPQ5UHDYZBQMG252 · pith_short_8: RPQ5UHDY

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/RPQ5UHDYZBQMG252KVA5IMHDOG \
  | 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: 8be1da1c78c860c36bba5541d430e371879eed05a82316173abc2eefb675cba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac20717b02d29d390a5eac5937eb878965ec5efae3668a5fb00c9fafc231731b",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-11T13:34:19Z",
    "title_canon_sha256": "ab6178f52bc682f5af74e34f9940e655337303e74e8463da9d583b344de2ef66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03591",
    "kind": "arxiv",
    "version": 3
  }
}