Pith Number

pith:N3SA5YJP

pith:2018:N3SA5YJPD3IPRT3OKJFZP5D7IF

not attested not anchored not stored refs pending

Convexity and Operational Interpretation of the Quantum Information Bottleneck Function

Andreas Winter, Christoph Hirche, Nilanjana Datta

arxiv:1810.03644 v3 · 2018-10-08 · quant-ph · cs.IT · math-ph · math.IT · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3SA5YJPD3IPRT3OKJFZP5D7IF}

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	2026-07-05T00:53:49.409438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ee40ee12f1ed0f8cf6e524b97f47f4172667bd96b9d0f545a65afdcc2c73506

Aliases

arxiv: 1810.03644 · arxiv_version: 1810.03644v3 · doi: 10.48550/arxiv.1810.03644 · pith_short_12: N3SA5YJPD3IP · pith_short_16: N3SA5YJPD3IPRT3O · pith_short_8: N3SA5YJP

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/N3SA5YJPD3IPRT3OKJFZP5D7IF \
  | 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: 6ee40ee12f1ed0f8cf6e524b97f47f4172667bd96b9d0f545a65afdcc2c73506

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c811e49fbdbd8c9f4aae95a14372f03e505c114615c114cb512cc32d3fc929c",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-10-08T18:13:39Z",
    "title_canon_sha256": "55b7253247054408ecb44d08ec685e73824519c740964a1ba8799b6c65a922d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03644",
    "kind": "arxiv",
    "version": 3
  }
}