Pith Number

pith:PO77HDVF

pith:2017:PO77HDVFSW4M4TFNMCZ3GERGNU

not attested not anchored not stored refs pending

Optimal stretching for lattice points under convex curves

Richard S. Laugesen, Sinan Ariturk

arxiv:1701.03217 v1 · 2017-01-12 · 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{PO77HDVFSW4M4TFNMCZ3GERGNU}

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	2026-05-18T00:52:58.200932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bbff38ea595b8ce4cad60b3b312266d20e49ebf0bc63a092807497ef857ad4b

Aliases

arxiv: 1701.03217 · arxiv_version: 1701.03217v1 · doi: 10.48550/arxiv.1701.03217 · pith_short_12: PO77HDVFSW4M · pith_short_16: PO77HDVFSW4M4TFN · pith_short_8: PO77HDVF

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/PO77HDVFSW4M4TFNMCZ3GERGNU \
  | 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: 7bbff38ea595b8ce4cad60b3b312266d20e49ebf0bc63a092807497ef857ad4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5e738cb96db0374c6932022c1c78bbc5467bfaa81a85d48b56927251ce49fd1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-01-12T02:56:34Z",
    "title_canon_sha256": "a02d15732f882ae8af305077bc70215ac9380fd4e1f8a2b667ef4c73c50f8f62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03217",
    "kind": "arxiv",
    "version": 1
  }
}