Pith Number

pith:ZGZSU55R

pith:2015:ZGZSU55RMHLSEBBQ2VRRJB2HHD

not attested not anchored not stored refs pending

Upper bound for SL-invariant entanglement measures of mixed states

Andreas Osterloh

arxiv:1512.05987 v2 · 2015-12-18 · quant-ph · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGZSU55RMHLSEBBQ2VRRJB2HHD}

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	2026-05-18T01:06:24.491834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9b32a77b161d7220430d56314874738eca8edb97acb7a4c5ec131144e68eb71

Aliases

arxiv: 1512.05987 · arxiv_version: 1512.05987v2 · doi: 10.48550/arxiv.1512.05987 · pith_short_12: ZGZSU55RMHLS · pith_short_16: ZGZSU55RMHLSEBBQ · pith_short_8: ZGZSU55R

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/ZGZSU55RMHLSEBBQ2VRRJB2HHD \
  | 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: c9b32a77b161d7220430d56314874738eca8edb97acb7a4c5ec131144e68eb71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b3cfc0e31f65ad023998ac5a55a13da9fb98dea421af2921482488281bb5f27",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-12-18T15:21:31Z",
    "title_canon_sha256": "384698a496be832d0fa9af487cbf2ff6df026d0965b786401c067d9f6e962432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05987",
    "kind": "arxiv",
    "version": 2
  }
}