Pith Number

pith:6LCBXGGM

pith:2011:6LCBXGGMTK7LUVGXCXMUIL6OHW

not attested not anchored not stored refs pending

Telescopic Relative Entropy--II Triangle inequalities

Koenraad M.R. Audenaert

arxiv:1102.3041 v2 · 2011-02-15 · math-ph · math.MP · 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{6LCBXGGMTK7LUVGXCXMUIL6OHW}

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

Detecting and quantifying non-Markovianity via quantum direct cause

Receipt and verification

First computed	2026-05-18T04:23:22.793414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2c41b98cc9abeba54d715d9442fce3db945321f0f34778f2b56049e31de1296

Aliases

arxiv: 1102.3041 · arxiv_version: 1102.3041v2 · doi: 10.48550/arxiv.1102.3041 · pith_short_12: 6LCBXGGMTK7L · pith_short_16: 6LCBXGGMTK7LUVGX · pith_short_8: 6LCBXGGM

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/6LCBXGGMTK7LUVGXCXMUIL6OHW \
  | 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: f2c41b98cc9abeba54d715d9442fce3db945321f0f34778f2b56049e31de1296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d83fe776da51b468d5937abdcd1746eec5c95373bb724fb0a2bf0ab12237c700",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-15T11:31:16Z",
    "title_canon_sha256": "889a17ac24751a940014a2ba653e7781f0c21494879bcc66b63b233fbcfb21a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3041",
    "kind": "arxiv",
    "version": 2
  }
}