Pith Number

pith:QFPPZA65

pith:2013:QFPPZA654XNM2VFNRJMP6ZBVWD

not attested not anchored not stored refs pending

Tight bounds on the distinguishability of quantum states under separable measurements

Michael Nathanson, Somshubhro Bandyopadhyay

arxiv:1306.2712 v2 · 2013-06-12 · 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{QFPPZA654XNM2VFNRJMP6ZBVWD}

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	2026-05-18T03:07:14.124452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

815efc83dde5dacd54ad8a58ff6435b0f0d1355e36ff334d1b2fce5c2b893496

Aliases

arxiv: 1306.2712 · arxiv_version: 1306.2712v2 · doi: 10.48550/arxiv.1306.2712 · pith_short_12: QFPPZA654XNM · pith_short_16: QFPPZA654XNM2VFN · pith_short_8: QFPPZA65

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/QFPPZA654XNM2VFNRJMP6ZBVWD \
  | 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: 815efc83dde5dacd54ad8a58ff6435b0f0d1355e36ff334d1b2fce5c2b893496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24dcbd9301e3f1e4ec407897736574a2e11a3d60a01cd22ce9acc3e56f8aab6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-06-12T05:10:31Z",
    "title_canon_sha256": "79d21333cc55a2fdd6f3c88e17ff8a4413ad747e86d4f7dc0a9502364e5304ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2712",
    "kind": "arxiv",
    "version": 2
  }
}