Pith Number

pith:OLZL6BTB

pith:2007:OLZL6BTBBFXG6CJY62UUCHM5XL

not attested not anchored not stored refs pending

A Universal Operator Theoretic Framework for Quantum Fault Tolerance

(2) Princeton University), A. Robert Calderbank (2) ((1) MITRE Quantum Information Science Group, Gerald Gilbert (1), Michael Hamrick (1), Vaneet Aggarwal (2), Yaakov S. Weinstein (1)

arxiv:0709.0128 v3 · 2007-09-02 · 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{OLZL6BTBBFXG6CJY62UUCHM5XL}

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	2026-05-18T00:38:44.430773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72f2bf0661096e6f0938f6a9411d9dbadf2b1b5695e90194e4abfff2c3831ac0

Aliases

arxiv: 0709.0128 · arxiv_version: 0709.0128v3 · doi: 10.48550/arxiv.0709.0128 · pith_short_12: OLZL6BTBBFXG · pith_short_16: OLZL6BTBBFXG6CJY · pith_short_8: OLZL6BTB

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/OLZL6BTBBFXG6CJY62UUCHM5XL \
  | 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: 72f2bf0661096e6f0938f6a9411d9dbadf2b1b5695e90194e4abfff2c3831ac0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "328ed83090877c0c90aa0cfc7f008b04c24df4e4d65e8e92897db4e3a2788372",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-09-02T20:58:45Z",
    "title_canon_sha256": "38d11da02db88856540ad5147175fe460ec6a4625ee583ce8916a766f7b0d14c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0128",
    "kind": "arxiv",
    "version": 3
  }
}