Pith Number

pith:6VMOLF4L

pith:2003:6VMOLF4L6UGNMGID574IAL5HKB

not attested not anchored not stored refs pending

Diffraction-free subwavelength-beam optics

M. Mechler, S. V. Kukhlevsky

arxiv:physics/0309078 v1 · 2003-09-17 · 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{6VMOLF4L6UGNMGID574IAL5HKB}

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	2026-05-18T03:10:46.251127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f558e5978bf50cd61903eff8802fa750702928e3bce770be8759e1d7adbe5ad8

Aliases

arxiv: physics/0309078 · arxiv_version: physics/0309078v1 · doi: 10.48550/arxiv.physics/0309078 · pith_short_12: 6VMOLF4L6UGN · pith_short_16: 6VMOLF4L6UGNMGID · pith_short_8: 6VMOLF4L

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/6VMOLF4L6UGNMGID574IAL5HKB \
  | 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: f558e5978bf50cd61903eff8802fa750702928e3bce770be8759e1d7adbe5ad8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e73d96b66a30fd642d4905ccdf3f242e8097a0dd18b28839e819b7f62b35d23a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "2003-09-17T12:37:14Z",
    "title_canon_sha256": "799369665724d2c7fda260b8bcfabd0290d1f6a45d63a4bd5791598ace1a1129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0309078",
    "kind": "arxiv",
    "version": 1
  }
}