Pith Number

pith:RDIK5LEM

pith:2011:RDIK5LEMIJDX37SMRA4M7AC7QO

not attested not anchored not stored refs pending

Super-resolution for a point source better than {\lambda}/500 using positive refraction

Dejan Grabovi\v{c}ki\'c, Juan C. Gonz\'alez, Juan C. Mi\~nano, Manuel Freire, Pablo Ben\'itez, Ricardo Marqu\'es, Vicente Delgado

arxiv:1101.2978 v3 · 2011-01-15 · 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{RDIK5LEMIJDX37SMRA4M7AC7QO}

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	2026-05-18T02:03:39.693758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88d0aeac8c42477dfe4c8838cf805f8395a65a5e798c84cf0515a8a62391e8f4

Aliases

arxiv: 1101.2978 · arxiv_version: 1101.2978v3 · doi: 10.48550/arxiv.1101.2978 · pith_short_12: RDIK5LEMIJDX · pith_short_16: RDIK5LEMIJDX37SM · pith_short_8: RDIK5LEM

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/RDIK5LEMIJDX37SMRA4M7AC7QO \
  | 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: 88d0aeac8c42477dfe4c8838cf805f8395a65a5e798c84cf0515a8a62391e8f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a251b3f208c455fe6431ec2624ac4d13404edf314399d3144913a3b3d0b6ccc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-01-15T12:24:11Z",
    "title_canon_sha256": "87cbb1ab437bf44d3f4e7133fe77fb0febe5d369d16c975a472b01d3444bc81e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2978",
    "kind": "arxiv",
    "version": 3
  }
}