Pith Number

pith:E72ZQUCB

pith:2004:E72ZQUCBNMRVXP3N4I76NDPVED

not attested not anchored not stored refs pending

Generalised Smolin states and their properties

Pawel Horodecki, Remigiusz Augusiak

arxiv:quant-ph/0411142 v1 · 2004-11-18 · 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{E72ZQUCBNMRVXP3N4I76NDPVED}

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	2026-07-04T14:46:51.254019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27f59850416b235bbf6de23fe68df520e7def40bee8e619f52e672c2396d576a

Aliases

arxiv: quant-ph/0411142 · arxiv_version: quant-ph/0411142v1 · doi: 10.48550/arxiv.quant-ph/0411142 · pith_short_12: E72ZQUCBNMRV · pith_short_16: E72ZQUCBNMRVXP3N · pith_short_8: E72ZQUCB

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/E72ZQUCBNMRVXP3N4I76NDPVED \
  | 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: 27f59850416b235bbf6de23fe68df520e7def40bee8e619f52e672c2396d576a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9910ce6f253e843b8a7ccddb79b8f6171904fa094335c4634c92aff8afb45d00",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-11-18T23:54:09Z",
    "title_canon_sha256": "810496080c9127ec7eeb68a423793a81e4802a851f468c251a81abdd5ab445bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0411142",
    "kind": "arxiv",
    "version": 1
  }
}