Pith Number

pith:ROER2AUJ

pith:2007:ROER2AUJ2URFB2VSIRXF5DTYB6

not attested not anchored not stored refs pending

E-dilation of strongly commuting CP-semigroups (the nonunital case)

Orr Shalit

arxiv:0711.2885 v4 · 2007-11-19 · 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{ROER2AUJ2URFB2VSIRXF5DTYB6}

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	2026-05-18T04:23:54.641664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b891d0289d52250eab2446e5e8e780fb703d5a11f434ca7141bff3adddcb4b5

Aliases

arxiv: 0711.2885 · arxiv_version: 0711.2885v4 · doi: 10.48550/arxiv.0711.2885 · pith_short_12: ROER2AUJ2URF · pith_short_16: ROER2AUJ2URFB2VS · pith_short_8: ROER2AUJ

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/ROER2AUJ2URFB2VSIRXF5DTYB6 \
  | 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: 8b891d0289d52250eab2446e5e8e780fb703d5a11f434ca7141bff3adddcb4b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a0786bb1ea79a4bfabdc30714606c8185c689e92df2726aa518dc97126b2db6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2007-11-19T10:14:04Z",
    "title_canon_sha256": "70f3483be896de6bc7f16aaabbe30278f18a58006f7c5b47d4a954e9dc971820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2885",
    "kind": "arxiv",
    "version": 4
  }
}