Pith Number

pith:YGIYFPV6

pith:2020:YGIYFPV6MJRYXJCB7VMDMHFBDH

not attested not anchored not stored refs pending

On the mixed-unitary rank of quantum channels

Chi-Kwong Li, Debbie Leung, Jeremy Levick, John Watrous, Mark Girard, Vern Paulsen, Yiu Tung Poon

arxiv:2003.14405 v1 · 2020-03-31 · 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{YGIYFPV6MJRYXJCB7VMDMHFBDH}

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	2026-07-05T04:40:42.525009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c19182bebe62638ba441fd58361ca119fb6abe5ed9db83520feab2e8e8ea4d54

Aliases

arxiv: 2003.14405 · arxiv_version: 2003.14405v1 · doi: 10.48550/arxiv.2003.14405 · pith_short_12: YGIYFPV6MJRY · pith_short_16: YGIYFPV6MJRYXJCB · pith_short_8: YGIYFPV6

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/YGIYFPV6MJRYXJCB7VMDMHFBDH \
  | 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: c19182bebe62638ba441fd58361ca119fb6abe5ed9db83520feab2e8e8ea4d54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90b7664c1860ba36d7d017512183ec40612cca0d8dae94e3a9b9ebe6d82642d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-03-31T17:51:56Z",
    "title_canon_sha256": "d903ef12fe1488f3d4eef3d256511ab9042f5db659f05fb8dc1bf24ff98fa01c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.14405",
    "kind": "arxiv",
    "version": 1
  }
}