Pith Number

pith:EXE3EUMU

pith:2017:EXE3EUMUM4YOVMHA74I7APWHEM

not attested not anchored not stored refs pending

Ultra-Sparse Non-Binary LDPC Codes for Probabilistic Amplitude Shaping

Fabian Steiner, Georg B\"ocherer, Gianluigi Liva

arxiv:1708.05558 v1 · 2017-08-18 · 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{EXE3EUMUM4YOVMHA74I7APWHEM}

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	2026-05-18T00:37:49.716679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c9b251946730eab0e0ff11f03ec723202db23da487f730275b756e93fad61b

Aliases

arxiv: 1708.05558 · arxiv_version: 1708.05558v1 · doi: 10.48550/arxiv.1708.05558 · pith_short_12: EXE3EUMUM4YO · pith_short_16: EXE3EUMUM4YOVMHA · pith_short_8: EXE3EUMU

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/EXE3EUMUM4YOVMHA74I7APWHEM \
  | 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: 25c9b251946730eab0e0ff11f03ec723202db23da487f730275b756e93fad61b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e5cc5ed48fc7bce9a4bf41a0d74c929a75d20f2105bb8a7f5f55769ff41ea66",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-08-18T10:45:12Z",
    "title_canon_sha256": "026127662cae7ccf9593822a36a694f6e179fc50ffb1817b76d0e14e535588c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05558",
    "kind": "arxiv",
    "version": 1
  }
}