Pith Number

pith:AE2DC56E

pith:2016:AE2DC56EII2CDLOCQ7EB5GF5B4

not attested not anchored not stored refs pending

On distilling secure key from reducible private states and (non)existence of entangled key-undistillable states

A. Rutkowski, K. Horodecki, M. Studzi\'nski, P. \'Cwikli\'nski

arxiv:1612.08938 v4 · 2016-12-28 · 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{AE2DC56EII2CDLOCQ7EB5GF5B4}

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	2026-05-18T00:07:50.967083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01343177c4423421adc287c81e98bd0f10f3c0c26a40142d81e3d2de55238c7e

Aliases

arxiv: 1612.08938 · arxiv_version: 1612.08938v4 · doi: 10.48550/arxiv.1612.08938 · pith_short_12: AE2DC56EII2C · pith_short_16: AE2DC56EII2CDLOC · pith_short_8: AE2DC56E

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/AE2DC56EII2CDLOCQ7EB5GF5B4 \
  | 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: 01343177c4423421adc287c81e98bd0f10f3c0c26a40142d81e3d2de55238c7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9de8827e29448e3bb7419af5ba348918125175c7e6dfb145d0b74e8567136f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-12-28T17:43:06Z",
    "title_canon_sha256": "777a2f806b1e1c12fd57841d4a0a1e07a4e3d51436b2fcb4bdf4781f45aefcd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08938",
    "kind": "arxiv",
    "version": 4
  }
}