Pith Number

pith:6AFZSE62

pith:2012:6AFZSE626P2MO5PRJMZBPZ5N3Q

not attested not anchored not stored refs pending

Design of APSK Constellations for Coherent Optical Channels with Nonlinear Phase Noise

Alex Alvarado, Alexandre Graell i Amat, Christian H\"ager, Erik Agrell

arxiv:1209.5221 v2 · 2012-09-24 · 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{6AFZSE626P2MO5PRJMZBPZ5N3Q}

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	2026-05-18T02:30:01.433677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f00b9913daf3f4c775f14b3217e7addc2ec689c7285bd471078576224cb70b73

Aliases

arxiv: 1209.5221 · arxiv_version: 1209.5221v2 · doi: 10.48550/arxiv.1209.5221 · pith_short_12: 6AFZSE626P2M · pith_short_16: 6AFZSE626P2MO5PR · pith_short_8: 6AFZSE62

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/6AFZSE626P2MO5PRJMZBPZ5N3Q \
  | 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: f00b9913daf3f4c775f14b3217e7addc2ec689c7285bd471078576224cb70b73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3241eeab9827450afa45f88694d213a7a914eab0f3999705b19720d7b529624",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-09-24T10:35:36Z",
    "title_canon_sha256": "370968638cae8adb99eeab5c2b3beee07d18ae3ef7f667a5b045a07e4e068db4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5221",
    "kind": "arxiv",
    "version": 2
  }
}