Pith Number

pith:D7LWXDE4

pith:2021:D7LWXDE4UE7YVHEU7LUO5V3ZO6

not attested not anchored not stored refs pending

Searching for exceptional points and inspecting non-contractivity of trace distance in (anti-)$\mathcal{PT}\!-$symmetric systems

Hossein Rangani Jahromi, Rosario Lo Franco

arxiv:2101.04663 v3 · 2021-01-12 · 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{D7LWXDE4UE7YVHEU7LUO5V3ZO6}

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	2026-07-05T04:15:07.854268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd76b8c9ca13f8a9c94fae8eed77977ab3c93d1f7a2d5e1ca381e1ca4746048

Aliases

arxiv: 2101.04663 · arxiv_version: 2101.04663v3 · doi: 10.48550/arxiv.2101.04663 · pith_short_12: D7LWXDE4UE7Y · pith_short_16: D7LWXDE4UE7YVHEU · pith_short_8: D7LWXDE4

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/D7LWXDE4UE7YVHEU7LUO5V3ZO6 \
  | 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: 1fd76b8c9ca13f8a9c94fae8eed77977ab3c93d1f7a2d5e1ca381e1ca4746048

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2014c0fb9dafd220c030b54716fd1def1b8d75e82b58aff6ee0ad3e20f9cae27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-01-12T18:42:52Z",
    "title_canon_sha256": "edbc38cf1c0874990a3bcc5563b2b5b980c69fa21f6f28b81318c25162b63c91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.04663",
    "kind": "arxiv",
    "version": 3
  }
}