Pith Number

pith:RFTLQ6M2

pith:2020:RFTLQ6M2UCLQT6B7QSUQAHC6JC

not attested not anchored not stored refs pending

Approximate recovery and relative entropy I. general von Neumann subalgebras

Brian Swingle, Stefan Hollands, Thomas Faulkner, Yixu Wang

arxiv:2006.08002 v1 · 2020-06-14 · quant-ph · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFTLQ6M2UCLQT6B7QSUQAHC6JC}

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

2 papers in Pith

Sufficiency and Petz recovery for positive maps

Receipt and verification

First computed	2026-07-05T01:10:17.272806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8966b8799aa09709f83f84a9001c5e48ab8fe90d46946270c304187d611dc0c0

Aliases

arxiv: 2006.08002 · arxiv_version: 2006.08002v1 · doi: 10.48550/arxiv.2006.08002 · pith_short_12: RFTLQ6M2UCLQ · pith_short_16: RFTLQ6M2UCLQT6B7 · pith_short_8: RFTLQ6M2

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/RFTLQ6M2UCLQT6B7QSUQAHC6JC \
  | 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: 8966b8799aa09709f83f84a9001c5e48ab8fe90d46946270c304187d611dc0c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d9ddc02d74f82a62eaeb5a26dc2bd77d4e61b054dd414024db6b3ebd980a6da",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-06-14T20:00:38Z",
    "title_canon_sha256": "8fe134983d9a00b2aed04eaff830df793166a36d91ab09792fadf1b04ea85ead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.08002",
    "kind": "arxiv",
    "version": 1
  }
}