Pith Number

pith:FSNBSQ56

pith:1999:FSNBSQ564HB5LUCRHJR74TF4GP

not attested not anchored not stored refs pending

Optimal compression for mixed signal states

Michal Horodecki

arxiv:quant-ph/9905058 v3 · 1999-05-19 · 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{FSNBSQ564HB5LUCRHJR74TF4GP}

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	2026-07-04T16:15:42.124012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c9a1943bee1c3d5d0513a63fe4cbc33ccfd385efc5507cc737ee70dff6ced2f

Aliases

arxiv: quant-ph/9905058 · arxiv_version: quant-ph/9905058v3 · doi: 10.48550/arxiv.quant-ph/9905058 · pith_short_12: FSNBSQ564HB5 · pith_short_16: FSNBSQ564HB5LUCR · pith_short_8: FSNBSQ56

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/FSNBSQ564HB5LUCRHJR74TF4GP \
  | 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: 2c9a1943bee1c3d5d0513a63fe4cbc33ccfd385efc5507cc737ee70dff6ced2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b624bd20104c060345895c9f90cc407194e45219ff1682effaf20b00cd3250a6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-05-19T13:46:35Z",
    "title_canon_sha256": "fb7b38e1649cfbfaddb39795dda8347ec3835652c2a011eb1b14d9b69a279e27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9905058",
    "kind": "arxiv",
    "version": 3
  }
}