Pith Number

pith:BETHA7FP

pith:2014:BETHA7FPVN5NZQE6CLHEN7OM7Z

not attested not anchored not stored refs pending

Discrete-Gauss states and the generation of focussing dark beams

Albert Ferrando

arxiv:1403.2699 v2 · 2014-03-11 · physics.optics · math-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BETHA7FPVN5NZQE6CLHEN7OM7Z}

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	2026-05-18T02:43:36.253457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0926707cafab7adcc09e12ce46fdccfe5d16881a9347b60305ba5c23a56e8099

Aliases

arxiv: 1403.2699 · arxiv_version: 1403.2699v2 · doi: 10.48550/arxiv.1403.2699 · pith_short_12: BETHA7FPVN5N · pith_short_16: BETHA7FPVN5NZQE6 · pith_short_8: BETHA7FP

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/BETHA7FPVN5NZQE6CLHEN7OM7Z \
  | 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: 0926707cafab7adcc09e12ce46fdccfe5d16881a9347b60305ba5c23a56e8099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abaefdce3f849ace47ce4089b3070b2216377a5adc843421b72e43fab01bdd7a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2014-03-11T19:21:16Z",
    "title_canon_sha256": "d26e8795807f7361cb660940736f216598ef94a8ffb9f9c2e44adfc0d2d644d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2699",
    "kind": "arxiv",
    "version": 2
  }
}