Pith Number

pith:MHABR7CX

pith:2016:MHABR7CXWAZZW6WDZAVCUO5IA2

not attested not anchored not stored refs pending

Dilations of Semigroups of Contractions through Vessels

Eli Shamovich, Victor Vinnikov

arxiv:1605.01675 v1 · 2016-05-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHABR7CXWAZZW6WDZAVCUO5IA2}

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	2026-05-18T00:21:43.745031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61c018fc57b0339b7ac3c82a2a3ba806b8a903851d47b7444dbed48d26b19574

Aliases

arxiv: 1605.01675 · arxiv_version: 1605.01675v1 · doi: 10.48550/arxiv.1605.01675 · pith_short_12: MHABR7CXWAZZ · pith_short_16: MHABR7CXWAZZW6WD · pith_short_8: MHABR7CX

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/MHABR7CXWAZZW6WDZAVCUO5IA2 \
  | 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: 61c018fc57b0339b7ac3c82a2a3ba806b8a903851d47b7444dbed48d26b19574

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e471636128ae148f29e41d8a75ada4cae36ee3da6e27a36d4a59316077673b68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-05T18:07:40Z",
    "title_canon_sha256": "6cbdb4fb7ba9debf5ff54a422eab24caedaa88ad52db3de25dc05ecce781cd5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01675",
    "kind": "arxiv",
    "version": 1
  }
}