Pith Number

pith:AA27G2YW

pith:2019:AA27G2YW5THI2HAWOPG7YPQI2N

not attested not anchored not stored refs pending

Quantifying the magic of quantum channels

Mark M. Wilde, Xin Wang, Yuan Su

arxiv:1903.04483 v2 · 2019-03-11 · quant-ph · cs.IT · math-ph · math.IT · 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{AA27G2YW5THI2HAWOPG7YPQI2N}

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	2026-07-05T00:10:14.188404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0035f36b16ecce8d1c1673cdfc3e08d34fd0f8451ad034ecffcd6c5356ed7fe6

Aliases

arxiv: 1903.04483 · arxiv_version: 1903.04483v2 · doi: 10.48550/arxiv.1903.04483 · pith_short_12: AA27G2YW5THI · pith_short_16: AA27G2YW5THI2HAW · pith_short_8: AA27G2YW

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/AA27G2YW5THI2HAWOPG7YPQI2N \
  | 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: 0035f36b16ecce8d1c1673cdfc3e08d34fd0f8451ad034ecffcd6c5356ed7fe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea9379711669c2924d691a30279fc35124765bb91f5ee6ccbd9e10cdff31f4d2",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-03-11T17:59:29Z",
    "title_canon_sha256": "7b84f0780cd6a498beba4deed245a9fa940edea6089ae6b6cbb4ff4f0fc43fc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04483",
    "kind": "arxiv",
    "version": 2
  }
}