Pith Number

pith:EXDKTCMJ

pith:2012:EXDKTCMJ4VZ26GZXYH3HGLXFGI

not attested not anchored not stored refs pending

Analytical progress on symmetric geometric discord: Measurement-based upper bounds

Adam Miranowicz, Jan Sperling, Jan Tuziemski, Pawel Horodecki, Ravindra W. Chhajlany

arxiv:1209.2698 v1 · 2012-09-12 · 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{EXDKTCMJ4VZ26GZXYH3HGLXFGI}

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	2026-05-18T03:39:14.418557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c6a98989e573af1b37c1f6732ee532067c7355fd7d2b477c8984e6431677bc

Aliases

arxiv: 1209.2698 · arxiv_version: 1209.2698v1 · doi: 10.48550/arxiv.1209.2698 · pith_short_12: EXDKTCMJ4VZ2 · pith_short_16: EXDKTCMJ4VZ26GZX · pith_short_8: EXDKTCMJ

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/EXDKTCMJ4VZ26GZXYH3HGLXFGI \
  | 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: 25c6a98989e573af1b37c1f6732ee532067c7355fd7d2b477c8984e6431677bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b21cd084ad9b4666edbfb68cf19f2e2db5870a4901da5cadcd42454392fe7df8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-09-12T19:43:33Z",
    "title_canon_sha256": "72198d8e675718c60b10e622fe5166b35be5d874f12fbf6ba99439f63b468480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2698",
    "kind": "arxiv",
    "version": 1
  }
}