Pith Number

pith:JJGJMNMA

pith:2026:JJGJMNMALWOV5WZ7HFVY6F57J6

not attested not anchored not stored refs pending

Capacity of multimode quantum Gaussian channels

Marcin Jarzyna, Maria Pop{\l}awska

arxiv:2605.19749 v1 · 2026-05-19 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJGJMNMALWOV5WZ7HFVY6F57J6}

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	2026-05-20T01:06:12.025764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a4c9635805d9d5edb3f396b8f17bf4f88895ce610ecf14ec6dcc819754bf3bd

Aliases

arxiv: 2605.19749 · arxiv_version: 2605.19749v1 · doi: 10.48550/arxiv.2605.19749 · pith_short_12: JJGJMNMALWOV · pith_short_16: JJGJMNMALWOV5WZ7 · pith_short_8: JJGJMNMA

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/JJGJMNMALWOV5WZ7HFVY6F57J6 \
  | 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: 4a4c9635805d9d5edb3f396b8f17bf4f88895ce610ecf14ec6dcc819754bf3bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09cc2a2e1db1e4c4dde6e1f7fde08285d96afbdd153578126e35cde1439fdea0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-19T12:17:35Z",
    "title_canon_sha256": "cf89dc1a51ca548545afb8d56fa0cd9aa1a3fdef3724f01f21e90ec5310e8d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19749",
    "kind": "arxiv",
    "version": 1
  }
}