Pith Number

pith:JNQ4QQED

pith:2013:JNQ4QQEDPUIK77N3E7H72EE2EG

not attested not anchored not stored refs pending

Optimality of Gaussian Discord

Gaetana Spedalieri, Nicolas J. Cerf, Samuel L. Braunstein, Seth Lloyd, Stefano Pirandola

arxiv:1309.2215 v3 · 2013-09-09 · quant-ph · cond-mat.stat-mech · math-ph · math.MP · 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{JNQ4QQEDPUIK77N3E7H72EE2EG}

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	2026-05-18T02:32:46.441538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b61c840837d10affdbb27cffd109a218e358bd7332444c496e93ed484f21f13

Aliases

arxiv: 1309.2215 · arxiv_version: 1309.2215v3 · doi: 10.48550/arxiv.1309.2215 · pith_short_12: JNQ4QQEDPUIK · pith_short_16: JNQ4QQEDPUIK77N3 · pith_short_8: JNQ4QQED

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/JNQ4QQEDPUIK77N3E7H72EE2EG \
  | 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: 4b61c840837d10affdbb27cffd109a218e358bd7332444c496e93ed484f21f13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7ca01fff2b5f315b169c0979b502a2af4410505e0ec8f663a27950fd8db107b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-09-09T16:31:38Z",
    "title_canon_sha256": "b8a034f5813080fe17c80895b1c65c94fbf63f7413e4eb1c9fa54ef3e4666b69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2215",
    "kind": "arxiv",
    "version": 3
  }
}