Pith Number

pith:CJ7ACX4K

pith:1996:CJ7ACX4KOZWWLDBJYOZTXGJ6C4

not attested not anchored not stored refs pending

Quantum Error Correction and Orthogonal Geometry

(2) Institute for Defense Analysis), A. R. Calderbank (1), E. M Rains (2), N. J. A. Sloane (1) ((1) AT&T Research, P. W. Shor (1)

arxiv:quant-ph/9605005 v3 · 1996-05-09 · 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{CJ7ACX4KOZWWLDBJYOZTXGJ6C4}

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

Clifford Orbits from Cayley Graph Quotients

The Heisenberg Representation of Quantum Computers

Receipt and verification

First computed	2026-07-04T15:36:41.807464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

127e015f8a766d658c29c3b33b993e1714afe92582da959139a8d2b83515badb

Aliases

arxiv: quant-ph/9605005 · arxiv_version: quant-ph/9605005v3 · doi: 10.48550/arxiv.quant-ph/9605005 · pith_short_12: CJ7ACX4KOZWW · pith_short_16: CJ7ACX4KOZWWLDBJ · pith_short_8: CJ7ACX4K

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/CJ7ACX4KOZWWLDBJYOZTXGJ6C4 \
  | 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: 127e015f8a766d658c29c3b33b993e1714afe92582da959139a8d2b83515badb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bc490c110ad2fc4a4ddc87652988a0fe9dc5798cf06ca4e63af418237a88216",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1996-05-09T03:59:00Z",
    "title_canon_sha256": "38c6378de61b9f8f27f940fd66b1520c386cccff7d7a5b38837572df42d46cbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9605005",
    "kind": "arxiv",
    "version": 3
  }
}