Pith Number

pith:M4FOQ2FW

pith:2017:M4FOQ2FWDMQ37LTHC5KJ62UCMP

not attested not anchored not stored refs pending

Distillation with sublogarithmic overhead

J. Haah, M. B. Hastings

arxiv:1709.03543 v2 · 2017-09-11 · 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{M4FOQ2FWDMQ37LTHC5KJ62UCMP}

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.

Cited by

1 paper in Pith

Asymptotic magic state distillation with almost linear rate

Receipt and verification

First computed	2026-05-18T00:24:16.392405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

670ae868b61b21bfae6717549f6a8263f6ba7db62a21759062d4343b143392fd

Aliases

arxiv: 1709.03543 · arxiv_version: 1709.03543v2 · doi: 10.48550/arxiv.1709.03543 · pith_short_12: M4FOQ2FWDMQ3 · pith_short_16: M4FOQ2FWDMQ37LTH · pith_short_8: M4FOQ2FW

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/M4FOQ2FWDMQ37LTHC5KJ62UCMP \
  | 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: 670ae868b61b21bfae6717549f6a8263f6ba7db62a21759062d4343b143392fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f51ab893f9805f517687bd8b197666d14bab7935ce958dde2b77a85ea5a75ed2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-09-11T18:51:14Z",
    "title_canon_sha256": "d2aa236a69ddba7948aa8ad8df55d0aafebf65977d55eaad9ecfff9a781f45c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03543",
    "kind": "arxiv",
    "version": 2
  }
}