Pith Number

pith:DA6W342H

pith:2026:DA6W342HJYOJJAQUSC3ELD4VFR

not attested not anchored not stored refs pending

The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\widetilde{\Theta}(r^2/\varepsilon^2)$

Gye Jin Lee, Sunghyeon Jo

arxiv:2608.01770 v1 · 2026-08-03 · 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{DA6W342HJYOJJAQUSC3ELD4VFR}

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

Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform

Receipt and verification

First computed	2026-08-04T02:06:50.277237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

183d6df3474e1c94821490b6458f952c7de9dbcce2c2894b6aa6b1f418765f40

Aliases

arxiv: 2608.01770 · arxiv_version: 2608.01770v1 · doi: 10.48550/arxiv.2608.01770 · pith_short_12: DA6W342HJYOJ · pith_short_16: DA6W342HJYOJJAQU · pith_short_8: DA6W342H

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/DA6W342HJYOJJAQUSC3ELD4VFR \
  | 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: 183d6df3474e1c94821490b6458f952c7de9dbcce2c2894b6aa6b1f418765f40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c2fbd42fb701d289eb0be45fac7e98e25f2fe90d5a7436c484106d047ae8c6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-03T06:43:01Z",
    "title_canon_sha256": "05717baf9685ab4711b5469eaefdc4013c95be17d4074c26bb8ff2336fa82d93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01770",
    "kind": "arxiv",
    "version": 1
  }
}