Pith Number

pith:L6Q3OWS3

pith:2000:L6Q3OWS3R3W3KDQL54AGDKCX37

not attested not anchored not stored refs pending

States of quantum systems and their liftings

J. Kupsch, N. A. Sidorova, O. G. Smolyanov

arxiv:math-ph/0012025 v1 · 2000-12-12 · math-ph · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6Q3OWS3R3W3KDQL54AGDKCX37}

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	2026-05-18T01:38:34.559791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fa1b75a5b8eedb50e0bef0061a857dfdaff0190e2d9fa2a43ae4983e1abaaf5

Aliases

arxiv: math-ph/0012025 · arxiv_version: math-ph/0012025v1 · doi: 10.48550/arxiv.math-ph/0012025 · pith_short_12: L6Q3OWS3R3W3 · pith_short_16: L6Q3OWS3R3W3KDQL · pith_short_8: L6Q3OWS3

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/L6Q3OWS3R3W3KDQL54AGDKCX37 \
  | 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: 5fa1b75a5b8eedb50e0bef0061a857dfdaff0190e2d9fa2a43ae4983e1abaaf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb127a2122ce5cca3c772f8460e766502de65ddbba91c907568fe3f7953104ba",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-12-12T18:54:44Z",
    "title_canon_sha256": "9c0fc38a719a642e5a0972df4cf02062268ce5bba8d01ffe08c73e61366732ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0012025",
    "kind": "arxiv",
    "version": 1
  }
}