Pith Number

pith:7ZC3GEAI

pith:2016:7ZC3GEAIHE5LJL5QNZBTZJHF6X

not attested not anchored not stored refs pending

Particle manipulation beyond the diffraction limit using structured super-oscillating light beams

Ady Arie, Brijesh Kumar Singh, Harel Nagar, Yael Roichman

arxiv:1609.08858 v2 · 2016-09-28 · 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{7ZC3GEAIHE5LJL5QNZBTZJHF6X}

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	2026-05-18T00:20:49.290714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe45b31008393ab4afb06e433ca4e5f5ce10618009088060628a56b3774c6bf4

Aliases

arxiv: 1609.08858 · arxiv_version: 1609.08858v2 · doi: 10.48550/arxiv.1609.08858 · pith_short_12: 7ZC3GEAIHE5L · pith_short_16: 7ZC3GEAIHE5LJL5Q · pith_short_8: 7ZC3GEAI

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/7ZC3GEAIHE5LJL5QNZBTZJHF6X \
  | 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: fe45b31008393ab4afb06e433ca4e5f5ce10618009088060628a56b3774c6bf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27498fa5bf4062cc830b84a2803b555e750c6cd6fac304d90a0bd0a3362fecc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-09-28T11:08:35Z",
    "title_canon_sha256": "4229b3493566a1f9328d706f9ae8528feb28e765b8edaea47082e634fbeb1733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08858",
    "kind": "arxiv",
    "version": 2
  }
}