Pith Number

pith:6OOU7ULX

pith:2017:6OOU7ULXVXQHORFDNE4C42LTRL

not attested not anchored not stored refs pending

On Quasi-Energy-Spectra, Pair Correlations of Sequences and Additive Combinatorics

Christoph Aistleitner, Gerhard Larcher, Ida Aichinger

arxiv:1708.08590 v2 · 2017-08-29 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6OOU7ULXVXQHORFDNE4C42LTRL}

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	2026-05-18T00:22:39.607743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f39d4fd177ade07744a369382e69738ac346914b582fb0860d12a9bb471427ad

Aliases

arxiv: 1708.08590 · arxiv_version: 1708.08590v2 · doi: 10.48550/arxiv.1708.08590 · pith_short_12: 6OOU7ULXVXQH · pith_short_16: 6OOU7ULXVXQHORFD · pith_short_8: 6OOU7ULX

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/6OOU7ULXVXQHORFDNE4C42LTRL \
  | 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: f39d4fd177ade07744a369382e69738ac346914b582fb0860d12a9bb471427ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b67dd84de83681c106bec9dc5569dd2a0fb329294ec12f5aababd4461e5be60",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-29T05:08:46Z",
    "title_canon_sha256": "a448f723d2ec81f32539e84d471771898be9cf904ef78d2d3cb1ad987a5e8f61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08590",
    "kind": "arxiv",
    "version": 2
  }
}