Pith Number

pith:I6W4YROZ

pith:2026:I6W4YROZUOI33PMRBPSQBNB4RY

not attested not anchored not stored refs pending

Gaussian mean width strong converse bound on the classical identification capacity of quantum channels

Satvik Singh

arxiv:2606.05032 v1 · 2026-06-03 · quant-ph · cs.IT · math.IT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6W4YROZUOI33PMRBPSQBNB4RY}

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	2026-06-04T01:10:03.109486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47adcc45d9a391bdbd910be500b43c8e3f082f95c34d9f65aa079b0b946d48d4

Aliases

arxiv: 2606.05032 · arxiv_version: 2606.05032v1 · doi: 10.48550/arxiv.2606.05032 · pith_short_12: I6W4YROZUOI3 · pith_short_16: I6W4YROZUOI33PMR · pith_short_8: I6W4YROZ

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/I6W4YROZUOI33PMRBPSQBNB4RY \
  | 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: 47adcc45d9a391bdbd910be500b43c8e3f082f95c34d9f65aa079b0b946d48d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d26363b7c5fae8729b2c2073779652e9b5ae23668ea2e3fb954505359860cec7",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-03T16:00:02Z",
    "title_canon_sha256": "0a47f2e247261656a001ddaef6fd9fbbc3a5fa0104de6553f755a4103fde1808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05032",
    "kind": "arxiv",
    "version": 1
  }
}