Pith Number

pith:UMC2GRI3

pith:2012:UMC2GRI32J5SOW5R5CMILJUQLG

not attested not anchored not stored refs pending

Analytic description of Airy-type beams when truncated by finite apertures

C\'esar Augusto Dartora, Kleber Zuza N\'obrega, Michel Zamboni-Rached

arxiv:1206.6558 v1 · 2012-06-28 · 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{UMC2GRI32J5SOW5R5CMILJUQLG}

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	2026-05-18T01:56:41.030645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a305a3451bd27b275bb1e89885a690598b5b51e32a6ff8f21d5d24747e7299e6

Aliases

arxiv: 1206.6558 · arxiv_version: 1206.6558v1 · doi: 10.48550/arxiv.1206.6558 · pith_short_12: UMC2GRI32J5S · pith_short_16: UMC2GRI32J5SOW5R · pith_short_8: UMC2GRI3

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/UMC2GRI32J5SOW5R5CMILJUQLG \
  | 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: a305a3451bd27b275bb1e89885a690598b5b51e32a6ff8f21d5d24747e7299e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b96eeee584977e69049dcf95946890a878dd46b45e67be84d49dd4729d42599",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-06-28T03:51:13Z",
    "title_canon_sha256": "a5464ff827f98a683026c06be752460be7d12da6dc98e8b46f3f0998026af3bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6558",
    "kind": "arxiv",
    "version": 1
  }
}