Pith Number

pith:QDT4PWJT

pith:2018:QDT4PWJTZC54YLR5USYK5FPI3G

not attested not anchored not stored refs pending

High-Rate Regular APSK Constellations

Marco Maso, Paul Ferrand, Valerio Bioglio

arxiv:1812.02540 v1 · 2018-12-06 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDT4PWJTZC54YLR5USYK5FPI3G}

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	2026-05-17T23:58:55.447262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80e7c7d933c8bbcc2e3da4b0ae95e8d99ba550f4040a3efdadfdd5fa0dfcc215

Aliases

arxiv: 1812.02540 · arxiv_version: 1812.02540v1 · doi: 10.48550/arxiv.1812.02540 · pith_short_12: QDT4PWJTZC54 · pith_short_16: QDT4PWJTZC54YLR5 · pith_short_8: QDT4PWJT

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/QDT4PWJTZC54YLR5USYK5FPI3G \
  | 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: 80e7c7d933c8bbcc2e3da4b0ae95e8d99ba550f4040a3efdadfdd5fa0dfcc215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "337dbe995a54654a649643c80759b156baac5d915929353a13d7eaaee5935ad2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-12-06T14:14:53Z",
    "title_canon_sha256": "64926137ec5d53c40237ee621218c7902963350fac20a1bffd593e475942e661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02540",
    "kind": "arxiv",
    "version": 1
  }
}