Pith Number

pith:YL7VD3XD

pith:2011:YL7VD3XD5PFB26R7C55B4PAPC5

not attested not anchored not stored refs pending

Lifting fixed points of completely positive semigroups

Bebe Prunaru

arxiv:1106.2521 v3 · 2011-06-13 · math.OA · 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{YL7VD3XD5PFB26R7C55B4PAPC5}

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	2026-05-18T04:18:23.178371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2ff51eee3ebca1d7a3f177a1e3c0f17413cbc2b2803e67f226f3b696864ff3b

Aliases

arxiv: 1106.2521 · arxiv_version: 1106.2521v3 · doi: 10.48550/arxiv.1106.2521 · pith_short_12: YL7VD3XD5PFB · pith_short_16: YL7VD3XD5PFB26R7 · pith_short_8: YL7VD3XD

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/YL7VD3XD5PFB26R7C55B4PAPC5 \
  | 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: c2ff51eee3ebca1d7a3f177a1e3c0f17413cbc2b2803e67f226f3b696864ff3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "918a5d2ff6690c7afd0c88d3447965422b473479dc4b1c726932bd11c94166fb",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-06-13T19:04:47Z",
    "title_canon_sha256": "e68101fccccf8a6bf4ba9e00636796e2551c4539198adf66811c6fba71d58f4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2521",
    "kind": "arxiv",
    "version": 3
  }
}