Pith Number

pith:2V4HT24V

pith:2016:2V4HT24VWS3W4P3J6AYCTGQRJR

not attested not anchored not stored refs pending

Constellation Shaping for WDM systems using 256QAM/1024QAM with Probabilistic Optimization

Darko Zibar, Edson P. da Silva, Francesco Da Ros, Knud J. Larsen, Leif K. Oxenl{\o}we, Metodi P. Yankov, Michael Galili, S{\o}ren Forchhammer

arxiv:1603.07327 v2 · 2016-03-23 · cs.IT · math.IT · physics.optics

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2V4HT24VWS3W4P3J6AYCTGQRJR}

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	2026-05-18T01:04:50.015678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d57879eb95b4b76e3f69f030299a114c7c49d89330a611929e2bba64318035f1

Aliases

arxiv: 1603.07327 · arxiv_version: 1603.07327v2 · doi: 10.48550/arxiv.1603.07327 · pith_short_12: 2V4HT24VWS3W · pith_short_16: 2V4HT24VWS3W4P3J · pith_short_8: 2V4HT24V

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/2V4HT24VWS3W4P3J6AYCTGQRJR \
  | 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: d57879eb95b4b76e3f69f030299a114c7c49d89330a611929e2bba64318035f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb376da38abdd37b0f275c39281f03abfa103823781830072f82d16d6e9eb8ef",
    "cross_cats_sorted": [
      "math.IT",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-03-23T14:55:10Z",
    "title_canon_sha256": "28eab057bf88c9d324a4cafbb66f58566c31a34302f355498031277a73d8dd3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07327",
    "kind": "arxiv",
    "version": 2
  }
}