Pith Number

pith:X6WK7X6H

pith:2015:X6WK7X6HJE2JCMTQXQBWRXQNIA

not attested not anchored not stored refs pending

Convex decomposition of dimension-altering quantum channels

Dong-Sheng Wang

arxiv:1510.01040 v2 · 2015-10-05 · quant-ph · 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{X6WK7X6HJE2JCMTQXQBWRXQNIA}

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	2026-05-18T00:57:42.727867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfacafdfc74934913270bc0368de0d40295f8add03fb433753afd38649ca6edc

Aliases

arxiv: 1510.01040 · arxiv_version: 1510.01040v2 · doi: 10.48550/arxiv.1510.01040 · pith_short_12: X6WK7X6HJE2J · pith_short_16: X6WK7X6HJE2JCMTQ · pith_short_8: X6WK7X6H

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/X6WK7X6HJE2JCMTQXQBWRXQNIA \
  | 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: bfacafdfc74934913270bc0368de0d40295f8add03fb433753afd38649ca6edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bd577b5b502f764b416413bd076dbb7bded8334c27e3e6e5ef82676df63d63a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-10-05T06:21:00Z",
    "title_canon_sha256": "835faf6c71fa29e39484d909a0a1f90cecdbd3851e6cc1c53341f1ae0d4393f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01040",
    "kind": "arxiv",
    "version": 2
  }
}