Pith Number

pith:7FLVOGGS

pith:2015:7FLVOGGSLUA3W22PD5MI7NU7YT

not attested not anchored not stored refs pending

A non-commutative Beurling's theorem with respect to unitarily invariant norms

Don Hadwin, Junhao Shen, Yanni Chen

arxiv:1505.03952 v1 · 2015-05-15 · 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{7FLVOGGSLUA3W22PD5MI7NU7YT}

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	2026-05-18T02:09:40.601006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9575718d25d01bb6b4f1f588fb69fc4e953506d82a1bff20b9932b7557c1225

Aliases

arxiv: 1505.03952 · arxiv_version: 1505.03952v1 · doi: 10.48550/arxiv.1505.03952 · pith_short_12: 7FLVOGGSLUA3 · pith_short_16: 7FLVOGGSLUA3W22P · pith_short_8: 7FLVOGGS

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/7FLVOGGSLUA3W22PD5MI7NU7YT \
  | 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: f9575718d25d01bb6b4f1f588fb69fc4e953506d82a1bff20b9932b7557c1225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e2a9d9dd2db2b6901d488010124231819af73000437265ea6a91f849424adbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-05-15T03:42:37Z",
    "title_canon_sha256": "07808c6facda594c59fecc47b4fce1901f114abe51e85d81309dc983102b1b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03952",
    "kind": "arxiv",
    "version": 1
  }
}