Pith Number

pith:AAU5Q2KO

pith:2019:AAU5Q2KOAG6XHUHIOSYAVH4BEO

not attested not anchored not stored refs pending

Strong bound between trace distance and Hilbert-Schmidt distance for low-rank states

Lukasz Cincio, M. Cerezo, Patrick J. Coles

arxiv:1903.11738 v2 · 2019-03-28 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AAU5Q2KOAG6XHUHIOSYAVH4BEO}

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.

Cited by

1 paper in Pith

Efficient simulation of noisy IQP circuits with amplitude-damping noise

Receipt and verification

First computed	2026-07-04T23:51:40.769100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0029d8694e01bd73d0e874b00a9f8123aae6d7cc10c202d0378558186659abcd

Aliases

arxiv: 1903.11738 · arxiv_version: 1903.11738v2 · doi: 10.48550/arxiv.1903.11738 · pith_short_12: AAU5Q2KOAG6X · pith_short_16: AAU5Q2KOAG6XHUHI · pith_short_8: AAU5Q2KO

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/AAU5Q2KOAG6XHUHIOSYAVH4BEO \
  | 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: 0029d8694e01bd73d0e874b00a9f8123aae6d7cc10c202d0378558186659abcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a34f8085d749c8a029e2c3699a623819c60b24f183888a8c5fa980de056e7d09",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-03-28T00:24:15Z",
    "title_canon_sha256": "12605da285251654372b4629c68e7b1151d4b57717e3ab0128f4c6547d98d1c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11738",
    "kind": "arxiv",
    "version": 2
  }
}