Pith Number

pith:HL46MDMI

pith:2015:HL46MDMIKPT76YHUDYSUMVK4GL

not attested not anchored not stored refs pending

Hierarchy of efficiently computable and faithful lower bounds to quantum discord

Marco Piani

arxiv:1501.06855 v1 · 2015-01-27 · 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{HL46MDMIKPT76YHUDYSUMVK4GL}

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	2026-05-18T01:08:13.482585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3af9e60d8853e7ff60f41e2546555c32d85618cc26c9e5d5be9cd81bb8b53088

Aliases

arxiv: 1501.06855 · arxiv_version: 1501.06855v1 · doi: 10.48550/arxiv.1501.06855 · pith_short_12: HL46MDMIKPT7 · pith_short_16: HL46MDMIKPT76YHU · pith_short_8: HL46MDMI

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/HL46MDMIKPT76YHUDYSUMVK4GL \
  | 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: 3af9e60d8853e7ff60f41e2546555c32d85618cc26c9e5d5be9cd81bb8b53088

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60c5c1c91b0e1fd629aa207f59b29157a9db479ec45e8e15f0465f10911cb98a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-01-27T18:10:37Z",
    "title_canon_sha256": "ca81f9ec77dfde30afeda0649a0ab0c3cdd0ba8ef000f9977184743e4cc3ef7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06855",
    "kind": "arxiv",
    "version": 1
  }
}