Pith Number

pith:4XRK43HW

pith:2015:4XRK43HW3TA23IANA4RMZEMLIK

not attested not anchored not stored refs pending

Quantum Theory of Superresolution for Two Incoherent Optical Point Sources

Mankei Tsang, Ranjith Nair, Xiao-Ming Lu

arxiv:1511.00552 v3 · 2015-11-02 · quant-ph · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XRK43HW3TA23IANA4RMZEMLIK}

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	2026-05-18T01:05:45.782368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e2ae6cf6dcc1ada00d0722cc918b42b1e8bee94202b208c023bd27906432af

Aliases

arxiv: 1511.00552 · arxiv_version: 1511.00552v3 · doi: 10.48550/arxiv.1511.00552 · pith_short_12: 4XRK43HW3TA2 · pith_short_16: 4XRK43HW3TA23IAN · pith_short_8: 4XRK43HW

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/4XRK43HW3TA23IANA4RMZEMLIK \
  | 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: e5e2ae6cf6dcc1ada00d0722cc918b42b1e8bee94202b208c023bd27906432af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa059ca679776a20e29fc2a53990dad4d018c4f961f8c817ea4686ae6f045cf3",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-11-02T15:37:42Z",
    "title_canon_sha256": "4c555db6477b609eec41a1f6b06bf0aec84e5688b7063af84a96128b3590989b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00552",
    "kind": "arxiv",
    "version": 3
  }
}