Pith Number

pith:NAHSVO7U

pith:2013:NAHSVO7UGBWESJRCKYB5D2Y7SD

not attested not anchored not stored refs pending

On permutations of Hardy-Littlewood-P\'olya sequences

Christoph Aistleitner, Istvan Berkes, Robert Tichy

arxiv:1312.0665 v2 · 2013-12-03 · math.NT · 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{NAHSVO7UGBWESJRCKYB5D2Y7SD}

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	2026-05-18T03:02:46.406508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

680f2abbf4306c4926225603d1eb1f90f9b8060c908dd81491fb69c3393ce133

Aliases

arxiv: 1312.0665 · arxiv_version: 1312.0665v2 · doi: 10.48550/arxiv.1312.0665 · pith_short_12: NAHSVO7UGBWE · pith_short_16: NAHSVO7UGBWESJRC · pith_short_8: NAHSVO7U

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/NAHSVO7UGBWESJRCKYB5D2Y7SD \
  | 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: 680f2abbf4306c4926225603d1eb1f90f9b8060c908dd81491fb69c3393ce133

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae48b4961081d1b8656d966dfb99d55f6dbedabf7f66b5ff568660affe1e0045",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-03T00:22:44Z",
    "title_canon_sha256": "36f6d4d70f7a2a163257bf24b78431590b4a4a39524a2d454e60f56e00888a61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0665",
    "kind": "arxiv",
    "version": 2
  }
}