Pith Number

pith:VTWRE3DO

pith:2005:VTWRE3DOXCTWUCM2E4GDMGGEEG

not attested not anchored not stored refs pending

A triangle of dualities: reversibly decomposable quantum channels, source-channel duality, and time reversal

I. Devetak

arxiv:quant-ph/0505138 v1 · 2005-05-19 · 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{VTWRE3DOXCTWUCM2E4GDMGGEEG}

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	2026-05-18T03:24:19.840686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aced126c6eb8a76a099a270c3618c4219223e52f25c70328369e379435ae0fbf

Aliases

arxiv: quant-ph/0505138 · arxiv_version: quant-ph/0505138v1 · doi: 10.48550/arxiv.quant-ph/0505138 · pith_short_12: VTWRE3DOXCTW · pith_short_16: VTWRE3DOXCTWUCM2 · pith_short_8: VTWRE3DO

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/VTWRE3DOXCTWUCM2E4GDMGGEEG \
  | 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: aced126c6eb8a76a099a270c3618c4219223e52f25c70328369e379435ae0fbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "942ceb11c48d102ca5042d47051475b4b04ec9feb113894e2f93579f0a057c26",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-05-19T00:15:06Z",
    "title_canon_sha256": "e4949214e829144157c95a2338f25083fe53465d7230b6ab0c86546703ac9acc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0505138",
    "kind": "arxiv",
    "version": 1
  }
}