Pith Number

pith:3RLIOXCC

pith:2026:3RLIOXCCUO2BMZDUPNEHXPSHP2

not attested not anchored not stored refs pending

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

Qisheng Wang, Yupan Liu

arxiv:2608.10674 v1 · 2026-08-11 · quant-ph · cs.DS · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RLIOXCCUO2BMZDUPNEHXPSHP2}

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	2026-08-12T01:22:59.741092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc56875c42a3b41664747b487bbe477e95c4ebe86e94333fb91e7a7545b99861

Aliases

arxiv: 2608.10674 · arxiv_version: 2608.10674v1 · doi: 10.48550/arxiv.2608.10674 · pith_short_12: 3RLIOXCCUO2B · pith_short_16: 3RLIOXCCUO2BMZDU · pith_short_8: 3RLIOXCC

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/3RLIOXCCUO2BMZDUPNEHXPSHP2 \
  | 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: dc56875c42a3b41664747b487bbe477e95c4ebe86e94333fb91e7a7545b99861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4da2dc6bc41ca42ea9c57544efd2d96a77cfa6bf5f2cb7c9f19bf3ec60d65d55",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-11T08:55:41Z",
    "title_canon_sha256": "e1a7c9bdae54bc02fa4b02501a989498a87d31c7ae623147055a3211c2c137dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10674",
    "kind": "arxiv",
    "version": 1
  }
}