Pith Number

pith:3PHZ2RJ7

pith:2026:3PHZ2RJ7SGWZPYDIYXNS5ZJINX

not attested not anchored not stored refs pending

Fast convergence of Dynamic Capacities of GNS-Symmetric Quantum Channels

Li Gao, Mizanur Rahaman, Mostafa Taheri, Omar Fawzi

arxiv:2605.15953 v1 · 2026-05-15 · quant-ph · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PHZ2RJ7SGWZPYDIYXNS5ZJINX}

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	2026-05-20T00:01:46.424260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbcf9d453f91ad97e068c5db2ee5286dd6fc8e92c46f37b6bcfd7f88342a9508

Aliases

arxiv: 2605.15953 · arxiv_version: 2605.15953v1 · doi: 10.48550/arxiv.2605.15953 · pith_short_12: 3PHZ2RJ7SGWZ · pith_short_16: 3PHZ2RJ7SGWZPYDI · pith_short_8: 3PHZ2RJ7

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/3PHZ2RJ7SGWZPYDIYXNS5ZJINX \
  | 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: dbcf9d453f91ad97e068c5db2ee5286dd6fc8e92c46f37b6bcfd7f88342a9508

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fefe1ee7e5572e74e61d73ad4287f721b2534639fcdbd3305e907ccdadceb8fd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-15T13:44:26Z",
    "title_canon_sha256": "4ea810ba26b1939e7c9cf51460b3a646ca2721969ca2bcaf2df7b8b7e68349a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15953",
    "kind": "arxiv",
    "version": 1
  }
}