Pith Number

pith:ARRJDVB2

pith:2013:ARRJDVB2G4FGXVFZROAM5Q442G

not attested not anchored not stored refs pending

Equivalence after extension and matricial coupling coincide with Schur coupling, on separable Hilbert spaces

Andre C.M. Ran, Sanne ter Horst

arxiv:1302.0144 v1 · 2013-02-01 · 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{ARRJDVB2G4FGXVFZROAM5Q442G}

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	2026-05-18T03:34:47.243566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

046291d43a370a6bd4b98b80cec39cd1bf412dd69c9f9cf8382f689bb8658ed4

Aliases

arxiv: 1302.0144 · arxiv_version: 1302.0144v1 · doi: 10.48550/arxiv.1302.0144 · pith_short_12: ARRJDVB2G4FG · pith_short_16: ARRJDVB2G4FGXVFZ · pith_short_8: ARRJDVB2

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/ARRJDVB2G4FGXVFZROAM5Q442G \
  | 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: 046291d43a370a6bd4b98b80cec39cd1bf412dd69c9f9cf8382f689bb8658ed4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8813cc608e8d78a96a9e8ba435c24101553d92943f2efb5c34281df81d031c41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-01T11:14:49Z",
    "title_canon_sha256": "ba7c3d4a0942e8de3f7476efdfa58604e4fc59b31ce02d2b3a39c699c6f4c2ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0144",
    "kind": "arxiv",
    "version": 1
  }
}