Pith Number

pith:OB5XVYO5

pith:2006:OB5XVYO5REXJCHZHRC3X4GKWIG

not attested not anchored not stored refs pending

Bhattacharyya inequality for quantum state estimation

Yoshiyuki Tsuda

arxiv:quant-ph/0611182 v1 · 2006-11-17 · 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{OB5XVYO5REXJCHZHRC3X4GKWIG}

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	2026-05-18T01:37:53.881764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

707b7ae1dd892e911f2788b77e195641b63d5ebcfbd052856cc3f9730cb8108b

Aliases

arxiv: quant-ph/0611182 · arxiv_version: quant-ph/0611182v1 · doi: 10.48550/arxiv.quant-ph/0611182 · pith_short_12: OB5XVYO5REXJ · pith_short_16: OB5XVYO5REXJCHZH · pith_short_8: OB5XVYO5

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/OB5XVYO5REXJCHZHRC3X4GKWIG \
  | 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: 707b7ae1dd892e911f2788b77e195641b63d5ebcfbd052856cc3f9730cb8108b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe551ee19c06fe3cec238e3d13387b074ab10d2bcd0358e54ccc211d00932e9d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-11-17T03:12:01Z",
    "title_canon_sha256": "c62c77c88504f14968ef92ed16e57f69d76da84f3c2f85b613e7f2034b912c0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0611182",
    "kind": "arxiv",
    "version": 1
  }
}