Pith Number

pith:JBJR4HTO

pith:2014:JBJR4HTOOOSR2OWX43D26MGEJV

not attested not anchored not stored refs pending

Local numerical range for a class of $2\otimes d$ hermitian operators

A. Rutkowski, D. Chru\'sci\'nski, J. Jurkowski

arxiv:1410.2732 v1 · 2014-10-10 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JBJR4HTOOOSR2OWX43D26MGEJV}

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	2026-05-18T02:40:37.329013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48531e1e6e73a51d3ad7e6c7af30c44d51518a6939326ba361b1d8bd456b60b8

Aliases

arxiv: 1410.2732 · arxiv_version: 1410.2732v1 · doi: 10.48550/arxiv.1410.2732 · pith_short_12: JBJR4HTOOOSR · pith_short_16: JBJR4HTOOOSR2OWX · pith_short_8: JBJR4HTO

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/JBJR4HTOOOSR2OWX43D26MGEJV \
  | 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: 48531e1e6e73a51d3ad7e6c7af30c44d51518a6939326ba361b1d8bd456b60b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46ba043c848cf2919dc4443077ff4849fcea07e76207060e7cd9077e3e770c8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-10-10T10:36:05Z",
    "title_canon_sha256": "6713e18934dba6b3333706181959cc319dad98faf5c72b97c065e0a83de7b2c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2732",
    "kind": "arxiv",
    "version": 1
  }
}