Pith Number

pith:EKIM7XPW

pith:2008:EKIM7XPW55IKL6SZYVXBCGXOM2

not attested not anchored not stored refs pending

Degenerate quantum codes and the quantum Hamming bound

Andreas Klappenecker, Pradeep Kiran Sarvepalli

arxiv:0812.2674 v2 · 2008-12-14 · 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{EKIM7XPW55IKL6SZYVXBCGXOM2}

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	2026-05-18T04:24:04.816174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2290cfddf6ef50a5fa59c56e111aee669e1064a92289368bfe8d004427d6a467

Aliases

arxiv: 0812.2674 · arxiv_version: 0812.2674v2 · doi: 10.48550/arxiv.0812.2674 · pith_short_12: EKIM7XPW55IK · pith_short_16: EKIM7XPW55IKL6SZ · pith_short_8: EKIM7XPW

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/EKIM7XPW55IKL6SZYVXBCGXOM2 \
  | 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: 2290cfddf6ef50a5fa59c56e111aee669e1064a92289368bfe8d004427d6a467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43c997440c62a04689cdae03d307da760fc6bda482663b78bbe715b4614bc9f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-12-14T20:18:04Z",
    "title_canon_sha256": "3e9b72d651c4dd97b337c50e4d6ef862e882318984e3ccd60c5e4a2df1999875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2674",
    "kind": "arxiv",
    "version": 2
  }
}