Pith Number

pith:4MOJXPJF

pith:1996:4MOJXPJFPTKQW4RMSEWEFDNTLT

not attested not anchored not stored refs pending

Non-binary Unitary Error Bases and Quantum Codes

E. Knill

arxiv:quant-ph/9608048 v2 · 1996-08-29 · 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{4MOJXPJFPTKQW4RMSEWEFDNTLT}

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

2 papers in Pith

Hybrid Clifford Codes via Operator Algebra Quantum Error Correction and Projective Representation Theory

Noise-Directed Adaptive Remapping for Integer Optimization: from qubits to (encoded) qudits

Receipt and verification

First computed	2026-07-04T15:08:20.334447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e31c9bbd257cd50b722c912c428db35ccfd12d3d5178b9675025039491a6fab8

Aliases

arxiv: quant-ph/9608048 · arxiv_version: quant-ph/9608048v2 · doi: 10.48550/arxiv.quant-ph/9608048 · pith_short_12: 4MOJXPJFPTKQ · pith_short_16: 4MOJXPJFPTKQW4RM · pith_short_8: 4MOJXPJF

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/4MOJXPJFPTKQW4RMSEWEFDNTLT \
  | 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: e31c9bbd257cd50b722c912c428db35ccfd12d3d5178b9675025039491a6fab8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5911f17055e3f402814f31bd072b158d6308f52c9d8250618a146ab27f89ae5f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1996-08-29T19:17:10Z",
    "title_canon_sha256": "83440e3d2cb2e8a39ded1f1e9bb1c14ba8459af3a95fd9fbfe0700aa284f943a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9608048",
    "kind": "arxiv",
    "version": 2
  }
}