Pith Number

pith:MHJSWUHT

pith:2013:MHJSWUHTQAUIISFL4JC5KY5YAT

not attested not anchored not stored refs pending

Short random circuits define good quantum error correcting codes

Omar Fawzi, Winton Brown

arxiv:1312.7646 v1 · 2013-12-30 · quant-ph · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHJSWUHTQAUIISFL4JC5KY5YAT}

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	2026-05-18T03:03:34.104932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61d32b50f380288448abe245d563b804e5ce6b5e2df010d511dcdae17e395bcb

Aliases

arxiv: 1312.7646 · arxiv_version: 1312.7646v1 · doi: 10.48550/arxiv.1312.7646 · pith_short_12: MHJSWUHTQAUI · pith_short_16: MHJSWUHTQAUIISFL · pith_short_8: MHJSWUHT

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/MHJSWUHTQAUIISFL4JC5KY5YAT \
  | 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: 61d32b50f380288448abe245d563b804e5ce6b5e2df010d511dcdae17e395bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79893360edd5b105a9204ff03b6408703f24b2326e9e983cf3294c0dee558577",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-12-30T07:24:00Z",
    "title_canon_sha256": "ff12444139c9bf34684c6baf7710396ea66472c4560fc7a765e127fb1cd7a98f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7646",
    "kind": "arxiv",
    "version": 1
  }
}