Pith Number

pith:SZG4UENT

pith:2018:SZG4UENT6OM3QW5NZCPGQ2GCOO

not attested not anchored not stored refs pending

Packing of Circles on Square Flat Torus as Global Optimization of Mixed Integer Nonlinear problem

Sergey A. Smirnov, Vladimir V. Voloshinov

arxiv:1809.10525 v2 · 2018-09-27 · math.OC · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZG4UENT6OM3QW5NZCPGQ2GCOO}

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	2026-05-17T23:58:13.622121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

964dca11b3f399b85badc89e6868c273afdc3f8573940982d4a37fb9d39a59fd

Aliases

arxiv: 1809.10525 · arxiv_version: 1809.10525v2 · doi: 10.48550/arxiv.1809.10525 · pith_short_12: SZG4UENT6OM3 · pith_short_16: SZG4UENT6OM3QW5N · pith_short_8: SZG4UENT

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/SZG4UENT6OM3QW5NZCPGQ2GCOO \
  | 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: 964dca11b3f399b85badc89e6868c273afdc3f8573940982d4a37fb9d39a59fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc6790e3885cd957ee26545a53ce7edb9e85307c0334a5ac33442eebe4f1055c",
    "cross_cats_sorted": [
      "cs.DC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-09-27T14:07:10Z",
    "title_canon_sha256": "4f97cb91facb6fe62560a27b9107c2a3ac06282dc72579f1996d52f8dfe48dde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10525",
    "kind": "arxiv",
    "version": 2
  }
}