Pith Number

pith:AQ5TSPW6

pith:2017:AQ5TSPW6PUW2DX6MSX3RZACPOD

not attested not anchored not stored refs pending

Shifted lattices and asymptotically optimal ellipses

R. S. Laugesen, S. Liu

arxiv:1707.08590 v1 · 2017-07-26 · math.SP · 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{AQ5TSPW6PUW2DX6MSX3RZACPOD}

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	2026-05-18T00:39:23.641556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

043b393ede7d2da1dfcc95f71c804f70f52c08b454cbde8935b1494524eaaded

Aliases

arxiv: 1707.08590 · arxiv_version: 1707.08590v1 · doi: 10.48550/arxiv.1707.08590 · pith_short_12: AQ5TSPW6PUW2 · pith_short_16: AQ5TSPW6PUW2DX6M · pith_short_8: AQ5TSPW6

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/AQ5TSPW6PUW2DX6MSX3RZACPOD \
  | 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: 043b393ede7d2da1dfcc95f71c804f70f52c08b454cbde8935b1494524eaaded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5f0466f1217a331a4f7689100368de1da87097286ffaa2fac4ce9cf179b7cbe",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-07-26T18:03:03Z",
    "title_canon_sha256": "b539ebe1fbec03e30facb76ccb60d2069acccf2523b0ac99f11a79348131ff72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08590",
    "kind": "arxiv",
    "version": 1
  }
}