Pith Number

pith:C5FE37KS

pith:2018:C5FE37KSARZR2M7A3PADZBIHH3

not attested not anchored not stored refs pending

Wigner-Type Theorem on transition probability preserving maps in semifinite factors

Liguang Wang, Wei Yuan, Wenhua Qian, Wenming Wu

arxiv:1802.09157 v1 · 2018-02-26 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5FE37KSARZR2M7A3PADZBIHH3}

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	2026-05-18T00:22:34.561573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

174a4dfd5204731d33e0dbc03c85073edc34f954650e7b604b660e45b81938df

Aliases

arxiv: 1802.09157 · arxiv_version: 1802.09157v1 · doi: 10.48550/arxiv.1802.09157 · pith_short_12: C5FE37KSARZR · pith_short_16: C5FE37KSARZR2M7A · pith_short_8: C5FE37KS

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/C5FE37KSARZR2M7A3PADZBIHH3 \
  | 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: 174a4dfd5204731d33e0dbc03c85073edc34f954650e7b604b660e45b81938df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15103660c33785f836cd6bd6c2dabebe55d46466f419abd73caec158e0d9e6d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-02-26T04:42:38Z",
    "title_canon_sha256": "50c583c2d01f3a86233c9976b54bcc787ad289ec8efddecdaf9320bb94865dd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09157",
    "kind": "arxiv",
    "version": 1
  }
}