Pith Number

pith:4IRNQFFB

pith:2015:4IRNQFFBJHRU56BNWUL5UYPB34

not attested not anchored not stored refs pending

Quantum reverse hypercontractivity

Ashley Montanaro, Kristan Temme, Michael Kastoryano, Toby Cubitt

arxiv:1504.06143 v2 · 2015-04-23 · 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{4IRNQFFBJHRU56BNWUL5UYPB34}

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	2026-05-18T01:20:11.862926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e222d814a149e34ef82db517da61e1df2adf2fdde4f71fb95ba4da83e6e92374

Aliases

arxiv: 1504.06143 · arxiv_version: 1504.06143v2 · doi: 10.48550/arxiv.1504.06143 · pith_short_12: 4IRNQFFBJHRU · pith_short_16: 4IRNQFFBJHRU56BN · pith_short_8: 4IRNQFFB

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/4IRNQFFBJHRU56BNWUL5UYPB34 \
  | 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: e222d814a149e34ef82db517da61e1df2adf2fdde4f71fb95ba4da83e6e92374

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c6334d40edd710199fefce9a8a4ba63bf039bf32a0106f523c6066e1a9f30d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-04-23T12:31:50Z",
    "title_canon_sha256": "932a9b321a88ecdf3d0e5b5a0c864b360a806b616d80d3ca8e82d75ed171a4f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06143",
    "kind": "arxiv",
    "version": 2
  }
}