Pith Number

pith:QPQA6NPJ

pith:2017:QPQA6NPJD3WMK56QQQX7KXLMXL

not attested not anchored not stored refs pending

Lazy orbits: an optimization problem on the sphere

Csaba Vincze

arxiv:1709.06410 v1 · 2017-08-29 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPQA6NPJD3WMK56QQQX7KXLMXL}

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	2026-05-18T00:21:10.973297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e00f35e91eecc577d0842ff55d6cbad1f4136d4615328c0be218f0524658e9

Aliases

arxiv: 1709.06410 · arxiv_version: 1709.06410v1 · doi: 10.48550/arxiv.1709.06410 · pith_short_12: QPQA6NPJD3WM · pith_short_16: QPQA6NPJD3WMK56Q · pith_short_8: QPQA6NPJ

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/QPQA6NPJD3WMK56QQQX7KXLMXL \
  | 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: 83e00f35e91eecc577d0842ff55d6cbad1f4136d4615328c0be218f0524658e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c81aedd003554dc1e28bdd4103fc87792159e02dd2fd566d7d6219d7931a1165",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-08-29T15:58:00Z",
    "title_canon_sha256": "981329407991e5deda87c1cd56cd44bee7872a7fc74a4cd965e1802d503098c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06410",
    "kind": "arxiv",
    "version": 1
  }
}