Pith Number

pith:FLDKIF5W

pith:2016:FLDKIF5WG42ECGOC2V2PCU5CVL

not attested not anchored not stored refs pending

Coherent-state constellations and polar codes for thermal Gaussian channels

Felipe Lacerda, Joseph M. Renes, Volkher B. Scholz

arxiv:1603.05970 v3 · 2016-03-18 · quant-ph · 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{FLDKIF5WG42ECGOC2V2PCU5CVL}

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	2026-05-18T00:40:33.728461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ac6a417b637344119c2d574f153a2aaf363e33cbed4327f2563570ab026addb

Aliases

arxiv: 1603.05970 · arxiv_version: 1603.05970v3 · doi: 10.48550/arxiv.1603.05970 · pith_short_12: FLDKIF5WG42E · pith_short_16: FLDKIF5WG42ECGOC · pith_short_8: FLDKIF5W

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/FLDKIF5WG42ECGOC2V2PCU5CVL \
  | 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: 2ac6a417b637344119c2d574f153a2aaf363e33cbed4327f2563570ab026addb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7156fc7a14e1afc6088f70bce6579af4595e41d2e25103ee955c705bd8a8f3f1",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-03-18T19:44:45Z",
    "title_canon_sha256": "7d455431cc7ff60f3a7759e4e25d8ca15ba675254af5e0dbf4b38652d1c3aba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05970",
    "kind": "arxiv",
    "version": 3
  }
}