Pith Number

pith:OIBOQWDH

pith:2015:OIBOQWDHO3X3VYS5676M5P6OFN

not attested not anchored not stored refs pending

On the uniqueness of the Lebesgue decomposition of normal states on $B(H)$

Tam\'as Titkos, Zolt\'an Sebesty\'en, Zsigmond Tarcsay

arxiv:1507.05719 v3 · 2015-07-21 · 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{OIBOQWDHO3X3VYS5676M5P6OFN}

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	2026-05-18T00:32:31.603324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7202e8586776efbae25df7fccebfce2b50f6f2223ca756bbb46df5ca699987b2

Aliases

arxiv: 1507.05719 · arxiv_version: 1507.05719v3 · doi: 10.48550/arxiv.1507.05719 · pith_short_12: OIBOQWDHO3X3 · pith_short_16: OIBOQWDHO3X3VYS5 · pith_short_8: OIBOQWDH

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/OIBOQWDHO3X3VYS5676M5P6OFN \
  | 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: 7202e8586776efbae25df7fccebfce2b50f6f2223ca756bbb46df5ca699987b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fa8e289697aecdb1a31d6b0e9f2910c0e906622d617faeb52380e809e778952",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-07-21T06:31:37Z",
    "title_canon_sha256": "e1f4a0bedb537830c75e9c7546beb07c0a5a84d1b386a378d5104af91b730c66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05719",
    "kind": "arxiv",
    "version": 3
  }
}