Pith Number

pith:TDFURYS2

pith:2005:TDFURYS2ERTEOMBA5ZGBU4BYS2

not attested not anchored not stored refs pending

Properties of Conjugate Channels with Applications to Additivity and Multiplicativity

Christopher King, Keiji Matsumoto, Mary Beth Ruskai, Michael Nathanson

arxiv:quant-ph/0509126 v3 · 2005-09-19 · 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{TDFURYS2ERTEOMBA5ZGBU4BYS2}

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.

Cited by

1 paper in Pith

A quantum entropy production operator

Receipt and verification

First computed	2026-07-04T15:36:08.419686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98cb48e25a2466473020ee4c1a703896aedfda67cb7bc237ebb3cf03b9d5845f

Aliases

arxiv: quant-ph/0509126 · arxiv_version: quant-ph/0509126v3 · doi: 10.48550/arxiv.quant-ph/0509126 · pith_short_12: TDFURYS2ERTE · pith_short_16: TDFURYS2ERTEOMBA · pith_short_8: TDFURYS2

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/TDFURYS2ERTEOMBA5ZGBU4BYS2 \
  | 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: 98cb48e25a2466473020ee4c1a703896aedfda67cb7bc237ebb3cf03b9d5845f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b734aa06bb4f982347729d11277cc1c36f54736d932238322f2c61b4d3dbec55",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-09-19T15:55:33Z",
    "title_canon_sha256": "3cf1342fd02b0246f839fa79d9a4af002d0001c92a1ad1bf022ba290c6289e34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0509126",
    "kind": "arxiv",
    "version": 3
  }
}