Pith Number

pith:6UXBHONQ

pith:2014:6UXBHONQDRXIXQJFOLRDNAY7V4

not attested not anchored not stored refs pending

Noncommutative analysis, Multivariable spectral theory for operators in Hilbert space, Probability, and Unitary Representations

Feng Tian, Palle Jorgensen

arxiv:1408.1164 v8 · 2014-08-06 · 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{6UXBHONQDRXIXQJFOLRDNAY7V4}

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	2026-05-18T01:34:55.378885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f52e13b9b01c6e8bc12572e236831faf18596ff091a323dbd9deee2a9594313b

Aliases

arxiv: 1408.1164 · arxiv_version: 1408.1164v8 · doi: 10.48550/arxiv.1408.1164 · pith_short_12: 6UXBHONQDRXI · pith_short_16: 6UXBHONQDRXIXQJF · pith_short_8: 6UXBHONQ

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/6UXBHONQDRXIXQJFOLRDNAY7V4 \
  | 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: f52e13b9b01c6e8bc12572e236831faf18596ff091a323dbd9deee2a9594313b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e94de7b30322319beec5ae21079e1138a8e36284fbfc128083d44d7923c82d3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-08-06T02:11:48Z",
    "title_canon_sha256": "8c5bef3a80622decb108b81d77457e08c26f66f34008ab5199066252fad2b399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1164",
    "kind": "arxiv",
    "version": 8
  }
}