Pith Number

pith:J6ZTKA3Z

pith:2000:J6ZTKA3ZL5UZIT6MMQ4K3O2MLQ

not attested not anchored not stored refs pending

Two-particle model with noncommuting operators of coordinates and momenta

M. V. Kuzmenko

arxiv:quant-ph/0009036 v2 · 2000-09-08 · 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{J6ZTKA3ZL5UZIT6MMQ4K3O2MLQ}

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	2026-05-18T01:05:06.752037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fb33503795f69944fcc6438adbb4c5c38ac7201d12e709796619ca1ded32edc

Aliases

arxiv: quant-ph/0009036 · arxiv_version: quant-ph/0009036v2 · doi: 10.48550/arxiv.quant-ph/0009036 · pith_short_12: J6ZTKA3ZL5UZ · pith_short_16: J6ZTKA3ZL5UZIT6M · pith_short_8: J6ZTKA3Z

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/J6ZTKA3ZL5UZIT6MMQ4K3O2MLQ \
  | 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: 4fb33503795f69944fcc6438adbb4c5c38ac7201d12e709796619ca1ded32edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "423e44b6c6d18e29c6c7c17847d67ee3d18d99f144fc0a7740210688d94d02d8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-09-08T22:44:59Z",
    "title_canon_sha256": "8ea5883099be200e4d1ec1113598223ca80153f43df5b40a16c2d4347b5ffcd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0009036",
    "kind": "arxiv",
    "version": 2
  }
}