Pith Number

pith:MRZPBMMA

pith:2001:MRZPBMMANYAPJCHOPYVCSKPEAW

not attested not anchored not stored refs pending

Constructing Qubits in Physical Systems

Emanuel Knill, Lorenza Viola, Raymond Laflamme

arxiv:quant-ph/0101090 v1 · 2001-01-18 · 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{MRZPBMMANYAPJCHOPYVCSKPEAW}

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.

Cited by

1 paper in Pith

Partitions in quantum theory

Receipt and verification

First computed	2026-07-04T16:28:53.482077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6472f0b1806e00f488ee7e2a2929e4058e99f030ccd7573bb910371e92aac982

Aliases

arxiv: quant-ph/0101090 · arxiv_version: quant-ph/0101090v1 · doi: 10.48550/arxiv.quant-ph/0101090 · pith_short_12: MRZPBMMANYAP · pith_short_16: MRZPBMMANYAPJCHO · pith_short_8: MRZPBMMA

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/MRZPBMMANYAPJCHOPYVCSKPEAW \
  | 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: 6472f0b1806e00f488ee7e2a2929e4058e99f030ccd7573bb910371e92aac982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "872f91015d26ccdc369f32364ff1491413bac6d85fb6e8511b8d7bf5c3a1497a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-01-18T21:51:37Z",
    "title_canon_sha256": "cf3bf87b4776e807cf361745bbdb47929c98883e0ebb9f429b6c62a96be14c91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0101090",
    "kind": "arxiv",
    "version": 1
  }
}