Pith Number

pith:D2LWHRS7

pith:2025:D2LWHRS7KV6GE2GHLEHKVJRCWY

not attested not anchored not stored refs pending

Benign landscapes for synchronization on spheres via normalized Laplacian matrices

Andrew D. McRae

arxiv:2503.18801 v1 · 2025-03-24 · math.OC · math.DS · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2LWHRS7KV6GE2GHLEHKVJRCWY}

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	2026-07-05T10:38:26.702045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e9763c65f557c6268c7590eaaa622b60a95ce1e967577ae0e298fa4984ffa92

Aliases

arxiv: 2503.18801 · arxiv_version: 2503.18801v1 · doi: 10.48550/arxiv.2503.18801 · pith_short_12: D2LWHRS7KV6G · pith_short_16: D2LWHRS7KV6GE2GH · pith_short_8: D2LWHRS7

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/D2LWHRS7KV6GE2GHLEHKVJRCWY \
  | 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: 1e9763c65f557c6268c7590eaaa622b60a95ce1e967577ae0e298fa4984ffa92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82c680126a8e7bbd940204a121fd2b4eea706b154de507214560fa46752edf3a",
    "cross_cats_sorted": [
      "math.DS",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-03-24T15:47:19Z",
    "title_canon_sha256": "3afb7e9bd506eb59dd4c825bfb1ff6820ea33a1d487a986adc686caff4bc13b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.18801",
    "kind": "arxiv",
    "version": 1
  }
}