Pith Number

pith:NPSEN77G

pith:2016:NPSEN77GQTIBBQKTOEKCF3M532

not attested not anchored not stored refs pending

Comparison of Geometric and Probabilistic Shaping with Application to ATSC 3.0

Fabian Steiner, Georg B\"ocherer

arxiv:1608.00474 v2 · 2016-08-01 · 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{NPSEN77GQTIBBQKTOEKCF3M532}

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	2026-05-18T01:09:06.151757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6be446ffe684d010c153711422ed9ddead8919a13dbb3eeee26e9b181c757327

Aliases

arxiv: 1608.00474 · arxiv_version: 1608.00474v2 · doi: 10.48550/arxiv.1608.00474 · pith_short_12: NPSEN77GQTIB · pith_short_16: NPSEN77GQTIBBQKT · pith_short_8: NPSEN77G

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/NPSEN77GQTIBBQKTOEKCF3M532 \
  | 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: 6be446ffe684d010c153711422ed9ddead8919a13dbb3eeee26e9b181c757327

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3003dce4f0da51c9793c5f1daabcb2db2220f337456af50fd8df9367fc6f25b3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-08-01T15:47:15Z",
    "title_canon_sha256": "e62afc0f904babc8168762cd699e9780fc80f5f52795c3e439d6188375d3a8ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00474",
    "kind": "arxiv",
    "version": 2
  }
}