Pith Number

pith:NQ77WY3P

pith:2012:NQ77WY3PFG55XPL3A3EPD7AWEI

not attested not anchored not stored refs pending

Unitary invariants on the unit ball of B(H)^n

Gelu Popescu

arxiv:1208.4266 v1 · 2012-08-21 · 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{NQ77WY3PFG55XPL3A3EPD7AWEI}

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	2026-05-18T03:48:24.005503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c3ffb636f29bbdbbd7b06c8f1fc16221336f56343935708eb182e42c6b83911

Aliases

arxiv: 1208.4266 · arxiv_version: 1208.4266v1 · doi: 10.48550/arxiv.1208.4266 · pith_short_12: NQ77WY3PFG55 · pith_short_16: NQ77WY3PFG55XPL3 · pith_short_8: NQ77WY3P

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/NQ77WY3PFG55XPL3A3EPD7AWEI \
  | 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: 6c3ffb636f29bbdbbd7b06c8f1fc16221336f56343935708eb182e42c6b83911

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2da0a01ed1fdd46ea605a589528d8470e8b6e8bc6f03cb9d3e51260b04fe935f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-21T13:47:40Z",
    "title_canon_sha256": "1af47cf34dde8c4f9bff985acc12b6559d3455463be499c4836e1595310d82c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4266",
    "kind": "arxiv",
    "version": 1
  }
}