Pith Number

pith:623KIS53

pith:2014:623KIS53YMHCQNNJI4J6PFPL6M

not attested not anchored not stored refs pending

The generation of concentrated energy of Bessel beams in an array of concentric rings

Daniela Mugnai

arxiv:1402.0951 v2 · 2014-02-05 · 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{623KIS53YMHCQNNJI4J6PFPL6M}

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	2026-05-18T01:44:47.637495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6b6a44bbbc30e2835a94713e795ebf3163c3a80735ddcd5a0b96f6169f22fc9

Aliases

arxiv: 1402.0951 · arxiv_version: 1402.0951v2 · doi: 10.48550/arxiv.1402.0951 · pith_short_12: 623KIS53YMHC · pith_short_16: 623KIS53YMHCQNNJ · pith_short_8: 623KIS53

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/623KIS53YMHCQNNJI4J6PFPL6M \
  | 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: f6b6a44bbbc30e2835a94713e795ebf3163c3a80735ddcd5a0b96f6169f22fc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3b5a420fe17a447a945914d9f8e6541c4b783fcf2ca38111184c2a44ab7c04c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2014-02-05T07:10:23Z",
    "title_canon_sha256": "25d8d0042e558d8089ab311d76ba4b81de2851935e4fd9113cc05e24e69b757f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0951",
    "kind": "arxiv",
    "version": 2
  }
}