Pith Number

pith:BNYVUE3X

pith:2003:BNYVUE3XF4S6GMRHSV6MFQ6SBQ

not attested not anchored not stored refs pending

Compressing compound states

Jonathan Oppenheim, Michal Horodecki, Pawel Horodecki

arxiv:quant-ph/0302139 v1 · 2003-02-19 · 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{BNYVUE3XF4S6GMRHSV6MFQ6SBQ}

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	2026-07-04T14:46:07.602568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b715a13772f25e33227957cc2c3d20c3b8169330714ef001a8a3e9f483b1605

Aliases

arxiv: quant-ph/0302139 · arxiv_version: quant-ph/0302139v1 · doi: 10.48550/arxiv.quant-ph/0302139 · pith_short_12: BNYVUE3XF4S6 · pith_short_16: BNYVUE3XF4S6GMRH · pith_short_8: BNYVUE3X

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/BNYVUE3XF4S6GMRHSV6MFQ6SBQ \
  | 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: 0b715a13772f25e33227957cc2c3d20c3b8169330714ef001a8a3e9f483b1605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eacd3a9904aa8401cd68bf8084d002240d325ccbf3034d28e19c5885eda3e0ec",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-02-19T11:40:46Z",
    "title_canon_sha256": "ad39afe20ed141015cde9f0155fd7c434c0c2f3be8bd031527291a0939d259b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0302139",
    "kind": "arxiv",
    "version": 1
  }
}