Pith Number

pith:NGCR35EZ

pith:2017:NGCR35EZI7PJRCPVHJ6RANFNUB

not attested not anchored not stored refs pending

Noncommutative Lebesgue decomposition with application to quantum local asymptotic normality

Akio Fujiwara, Koichi Yamagata

arxiv:1703.07535 v1 · 2017-03-22 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGCR35EZI7PJRCPVHJ6RANFNUB}

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	2026-05-18T00:48:06.757080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69851df49947de9889f53a7d1034ada05c9238e2ce76abe0245f95785f8d0fef

Aliases

arxiv: 1703.07535 · arxiv_version: 1703.07535v1 · doi: 10.48550/arxiv.1703.07535 · pith_short_12: NGCR35EZI7PJ · pith_short_16: NGCR35EZI7PJRCPV · pith_short_8: NGCR35EZ

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/NGCR35EZI7PJRCPVHJ6RANFNUB \
  | 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: 69851df49947de9889f53a7d1034ada05c9238e2ce76abe0245f95785f8d0fef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a770ed3a5b61461297de3e8d083e804e76f86217150cbd6acf511b513b07f3ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-03-22T05:46:52Z",
    "title_canon_sha256": "6022af9ac41b909347d00c492ce5826d46defd27d13bd7272a5b089212dbf05a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07535",
    "kind": "arxiv",
    "version": 1
  }
}