Pith Number

pith:KJ5DKL4O

pith:2015:KJ5DKL4OEYU7CKYXQPDT7654T3

not attested not anchored not stored refs pending

Sums of equivalent sequences of positive operators in von Neumann factors

Catalin Dragan, Victor Kaftal

arxiv:1504.03193 v2 · 2015-04-13 · 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{KJ5DKL4OEYU7CKYXQPDT7654T3}

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	2026-05-18T01:23:38.377522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

527a352f8e2629f12b1783c73ffbbc9ef8337b5edf97a5d060df3cb307833a51

Aliases

arxiv: 1504.03193 · arxiv_version: 1504.03193v2 · doi: 10.48550/arxiv.1504.03193 · pith_short_12: KJ5DKL4OEYU7 · pith_short_16: KJ5DKL4OEYU7CKYX · pith_short_8: KJ5DKL4O

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/KJ5DKL4OEYU7CKYXQPDT7654T3 \
  | 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: 527a352f8e2629f12b1783c73ffbbc9ef8337b5edf97a5d060df3cb307833a51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df8ecba2391f58a9e67ef355cf82d0744bd1b746ffca8892396d651576882a09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-04-13T14:13:09Z",
    "title_canon_sha256": "5ccd69f45062ea12bda4b85ef214714d40199ec745e69777bd365c3017afd234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03193",
    "kind": "arxiv",
    "version": 2
  }
}