Pith Number

pith:YSNMROQ2

pith:2017:YSNMROQ2JDOQM455HV7PIX3PKW

not attested not anchored not stored refs pending

Achievable Rates for Probabilistic Shaping

Georg B\"ocherer

arxiv:1707.01134 v5 · 2017-07-04 · 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{YSNMROQ2JDOQM455HV7PIX3PKW}

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.

Cited by

1 paper in Pith

End-to-End Learning of Probabilistic Constellation Shaping through Importance Sampling

Receipt and verification

First computed	2026-05-18T00:15:30.686079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c49ac8ba1a48dd0673bd3d7ef45f6f558a114203b2190786ceb8e8c8eaf3c331

Aliases

arxiv: 1707.01134 · arxiv_version: 1707.01134v5 · doi: 10.48550/arxiv.1707.01134 · pith_short_12: YSNMROQ2JDOQ · pith_short_16: YSNMROQ2JDOQM455 · pith_short_8: YSNMROQ2

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/YSNMROQ2JDOQM455HV7PIX3PKW \
  | 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: c49ac8ba1a48dd0673bd3d7ef45f6f558a114203b2190786ceb8e8c8eaf3c331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef4e69e4711e8dc43abb467b432d27d9c9137d2f2730581bcdee2bb1c96bf513",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-07-04T18:53:52Z",
    "title_canon_sha256": "1b26467012da7c288dcbfbae81b628b0092c778856f2c7be9ad63ea4c803cf35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01134",
    "kind": "arxiv",
    "version": 5
  }
}