Pith Number

pith:ECTS3FAY

pith:2013:ECTS3FAYZV2RNTBPJZ2IHI6VYT

not attested not anchored not stored refs pending

Adversarial hypothesis testing and a quantum Stein's Lemma for restricted measurements

Aram W. Harrow, Fernando G.S.L. Brandao, James R. Lee, Yuval Peres

arxiv:1308.6702 v4 · 2013-08-30 · cs.IT · math.IT · math.PR · 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{ECTS3FAYZV2RNTBPJZ2IHI6VYT}

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	2026-07-05T01:19:48.426243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20a72d9418cd7516cc2f4e7483a3d5c4c66947266ba28a46ca94c5e2a1ae04cf

Aliases

arxiv: 1308.6702 · arxiv_version: 1308.6702v4 · doi: 10.48550/arxiv.1308.6702 · pith_short_12: ECTS3FAYZV2R · pith_short_16: ECTS3FAYZV2RNTBP · pith_short_8: ECTS3FAY

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/ECTS3FAYZV2RNTBPJZ2IHI6VYT \
  | 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: 20a72d9418cd7516cc2f4e7483a3d5c4c66947266ba28a46ca94c5e2a1ae04cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad1806f89d2f0c09fbf5357879cbf080af50ff6d5984909ceb7044ecf70ef59a",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-08-30T10:28:34Z",
    "title_canon_sha256": "404c90760bb6ddfa1b903d6b906f378bb1e144fa0a7336a47ddaba81e4d0dad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6702",
    "kind": "arxiv",
    "version": 4
  }
}