Pith Number

pith:OYTZUNBA

pith:2020:OYTZUNBAS3WCVU6HC6SBJK7CJS

not attested not anchored not stored refs pending

Purification Complexity without Purifications

Shan-Ming Ruan

arxiv:2006.01088 v1 · 2020-06-01 · hep-th · 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{OYTZUNBAS3WCVU6HC6SBJK7CJS}

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

3 papers in Pith

The Geometry of Quantum Complexity in Open Systems

Complexity Inequalities for Quantum Subsystems

Receipt and verification

First computed	2026-07-05T01:07:08.686815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76279a342096ec2ad3c717a414abe24ca0b445ed07997760c99d373cf3adb95c

Aliases

arxiv: 2006.01088 · arxiv_version: 2006.01088v1 · doi: 10.48550/arxiv.2006.01088 · pith_short_12: OYTZUNBAS3WC · pith_short_16: OYTZUNBAS3WCVU6H · pith_short_8: OYTZUNBA

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/OYTZUNBAS3WCVU6HC6SBJK7CJS \
  | 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: 76279a342096ec2ad3c717a414abe24ca0b445ed07997760c99d373cf3adb95c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "938c031cbf0377f40ec0cf85ed5dca8f788a5b1a3a546c7652ccc4fc00f682c9",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-06-01T17:17:37Z",
    "title_canon_sha256": "d49b99c0f5e51a1086119975be4ad59c5012a1e56ad76fc7fb1dd32aa38ca406"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.01088",
    "kind": "arxiv",
    "version": 1
  }
}