Pith Number

pith:WHSTUFW2

pith:2016:WHSTUFW2A7B7CYF3MFWQVJS267

not attested not anchored not stored refs pending

On characterizations of bistochastic Kadison-Schwarz operators on $M_2(\mathbb{C})$

Farrukh Mukhamedov, Hasan Akin

arxiv:1601.00719 v1 · 2016-01-05 · math.FA · math-ph · math.MP · 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{WHSTUFW2A7B7CYF3MFWQVJS267}

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	2026-05-18T01:23:22.094227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e53a16da07c3f160bb616d0aa65af7eb6d3d8eacede12f2744b2a460c686d3

Aliases

arxiv: 1601.00719 · arxiv_version: 1601.00719v1 · doi: 10.48550/arxiv.1601.00719 · pith_short_12: WHSTUFW2A7B7 · pith_short_16: WHSTUFW2A7B7CYF3 · pith_short_8: WHSTUFW2

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/WHSTUFW2A7B7CYF3MFWQVJS267 \
  | 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: b1e53a16da07c3f160bb616d0aa65af7eb6d3d8eacede12f2744b2a460c686d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5230966b2721f2869fc6adf44515629bf6387c49e6445cb1b66dc0b6076925e7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-01-05T02:52:07Z",
    "title_canon_sha256": "df5e126489a360034971d068792efecb5aa018c8fef6994f3d368b2e9ea547be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00719",
    "kind": "arxiv",
    "version": 1
  }
}