Pith Number

pith:ESWWHRHW

pith:2009:ESWWHRHWKZZGSGZYM65WCOYQCX

not attested not anchored not stored refs pending

On the logical operators of quantum codes

Mark M. Wilde

arxiv:0903.5256 v1 · 2009-03-30 · 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{ESWWHRHWKZZGSGZYM65WCOYQCX}

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	2026-07-04T15:45:06.211834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24ad63c4f65672691b3867bb613b1015e9e4140339ccc814fd2b7f2fdb6e82e4

Aliases

arxiv: 0903.5256 · arxiv_version: 0903.5256v1 · doi: 10.48550/arxiv.0903.5256 · pith_short_12: ESWWHRHWKZZG · pith_short_16: ESWWHRHWKZZGSGZY · pith_short_8: ESWWHRHW

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/ESWWHRHWKZZGSGZYM65WCOYQCX \
  | 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: 24ad63c4f65672691b3867bb613b1015e9e4140339ccc814fd2b7f2fdb6e82e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61ec9d9569e64a4e3e14abbe806d5f1fe353be8e68cecba23ea86b2560016013",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-03-30T16:00:21Z",
    "title_canon_sha256": "95111fed3c3d59b1329e943aef51a1adbf604a91b4ecd554afd99679ccdaf474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5256",
    "kind": "arxiv",
    "version": 1
  }
}