Pith Number

pith:EK2C7KSU

pith:2007:EK2C7KSUKO7PFV3YSOEW66GE7D

not attested not anchored not stored refs pending

Level Reduction and the Quantum Threshold Theorem

Panos Aliferis

arxiv:quant-ph/0703230 v2 · 2007-03-25 · 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{EK2C7KSUKO7PFV3YSOEW66GE7D}

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	2026-05-18T04:18:24.640624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22b42faa5453bef2d77893896f78c4f8c9059dc2ffb5acb3750cc2285693ae3f

Aliases

arxiv: quant-ph/0703230 · arxiv_version: quant-ph/0703230v2 · doi: 10.48550/arxiv.quant-ph/0703230 · pith_short_12: EK2C7KSUKO7P · pith_short_16: EK2C7KSUKO7PFV3Y · pith_short_8: EK2C7KSU

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/EK2C7KSUKO7PFV3YSOEW66GE7D \
  | 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: 22b42faa5453bef2d77893896f78c4f8c9059dc2ffb5acb3750cc2285693ae3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "494dbdd6148fec14d20a84a98ff3f2ba5b3f776a059ea1b817f9ef255e15183f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-03-25T22:43:01Z",
    "title_canon_sha256": "1d7fb8ac9c959f6a7b4279da04e7ff4a4d4091b4bb414d280793bac4f6387a27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0703230",
    "kind": "arxiv",
    "version": 2
  }
}