Pith Number

pith:ZRKMPZ5T

pith:2017:ZRKMPZ5TXLFUZXSTGXDEDOVZY3

not attested not anchored not stored refs pending

A remark on the minimal dilation of the semigroup generated by a normal UCP-map

Yusuke Sawada

arxiv:1705.09104 v2 · 2017-05-25 · 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{ZRKMPZ5TXLFUZXSTGXDEDOVZY3}

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	2026-05-18T00:10:57.237174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc54c7e7b3bacb4cde5335c641bab9c6c53eec0e2bb33fa40c852faa7f249c43

Aliases

arxiv: 1705.09104 · arxiv_version: 1705.09104v2 · doi: 10.48550/arxiv.1705.09104 · pith_short_12: ZRKMPZ5TXLFU · pith_short_16: ZRKMPZ5TXLFUZXST · pith_short_8: ZRKMPZ5T

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/ZRKMPZ5TXLFUZXSTGXDEDOVZY3 \
  | 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: cc54c7e7b3bacb4cde5335c641bab9c6c53eec0e2bb33fa40c852faa7f249c43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e51b01a2a09e325d10576273b997b01339fd45013c4db21d24f690ec6f7b830e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-05-25T09:30:13Z",
    "title_canon_sha256": "bb6e2d0816f0902a72812b2195c8c81a0e6f705c6f03d46b0223c8e5905f5935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09104",
    "kind": "arxiv",
    "version": 2
  }
}