Pith Number

pith:XTIORW6N

pith:2021:XTIORW6NS46XNCJO2X4CNICYJN

not attested not anchored not stored refs pending

Complete analysis to minimum-error discrimination of mixed four qubit states with arbitrary prior probabilities

Donghoon Ha, Younghun Kwon

arxiv:2111.07726 v2 · 2021-11-15 · 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{XTIORW6NS46XNCJO2X4CNICYJN}

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	2026-07-05T03:34:47.690933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcd0e8dbcd973d76892ed5f826a0584b782b84fe8d5336b0461f646297be5909

Aliases

arxiv: 2111.07726 · arxiv_version: 2111.07726v2 · doi: 10.48550/arxiv.2111.07726 · pith_short_12: XTIORW6NS46X · pith_short_16: XTIORW6NS46XNCJO · pith_short_8: XTIORW6N

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/XTIORW6NS46XNCJO2X4CNICYJN \
  | 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: bcd0e8dbcd973d76892ed5f826a0584b782b84fe8d5336b0461f646297be5909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592f344a9c5f3a15251d17132c59ed570dcb17884fb1f804ff87e9fa0e6c7276",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-11-15T12:55:28Z",
    "title_canon_sha256": "31205316239a27f9aea26bbfac16c2b31c5c6a84b929de997de266eabf4045da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.07726",
    "kind": "arxiv",
    "version": 2
  }
}