Pith Number

pith:J3PO7LDI

pith:1999:J3PO7LDINKMFLNEWQKOOLUBZVE

not attested not anchored not stored refs pending

Quantum Error Detection I: Statement of the Problem

Alexander Barg, Alexei Ashikhmin, Emanuel Knill, Simon Litsyn

arxiv:quant-ph/9906126 v1 · 1999-06-30 · 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{J3PO7LDINKMFLNEWQKOOLUBZVE}

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	2026-07-04T14:47:27.004488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4edeefac686a9855b496829ce5d039a912d7615b1bb9e840130b507febf865e2

Aliases

arxiv: quant-ph/9906126 · arxiv_version: quant-ph/9906126v1 · doi: 10.48550/arxiv.quant-ph/9906126 · pith_short_12: J3PO7LDINKMF · pith_short_16: J3PO7LDINKMFLNEW · pith_short_8: J3PO7LDI

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/J3PO7LDINKMFLNEWQKOOLUBZVE \
  | 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: 4edeefac686a9855b496829ce5d039a912d7615b1bb9e840130b507febf865e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94351757f8e6ba1c470fe4c5f9a64d8fc88e4a13590a92cbbd7fbede8967597e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-06-30T03:08:19Z",
    "title_canon_sha256": "68bc9fb4627b4ebc678903175d09e1745d3ba96a4264ebbdb0ce30155dfc46f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9906126",
    "kind": "arxiv",
    "version": 1
  }
}