Pith Number

pith:VT4UPVF7

pith:2017:VT4UPVF7OLLDA3W67QWUY5XM22

not attested not anchored not stored refs pending

Probabilistic Amplitude Shaping with Hard Decision Decoding and Staircase Codes

Alexandre Graell i Amat, Alireza Sheikh, Gianluigi Liva

arxiv:1706.06871 v4 · 2017-06-21 · 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{VT4UPVF7OLLDA3W67QWUY5XM22}

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	2026-05-18T00:19:30.074924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acf947d4bf72d6306edefc2d4c76ecd6b77e7ea4dbb7b96900fb7ba9a8256d14

Aliases

arxiv: 1706.06871 · arxiv_version: 1706.06871v4 · doi: 10.48550/arxiv.1706.06871 · pith_short_12: VT4UPVF7OLLD · pith_short_16: VT4UPVF7OLLDA3W6 · pith_short_8: VT4UPVF7

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/VT4UPVF7OLLDA3W67QWUY5XM22 \
  | 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: acf947d4bf72d6306edefc2d4c76ecd6b77e7ea4dbb7b96900fb7ba9a8256d14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c13c1291c37e51e361cb184d64d8bbf998824c249a49f8b8a54536b6a94e8ed",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-06-21T12:51:16Z",
    "title_canon_sha256": "794426976cfe30749ae7bd35f077ec036cf844cbbd751db7f04fd2c1c5e86a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06871",
    "kind": "arxiv",
    "version": 4
  }
}