Pith Number

pith:UZADQP76

pith:2014:UZADQP76Q5ADSJJG47QJWJTBGL

not attested not anchored not stored refs pending

Field theory of monochromatic optical beams. II Classical and quantum paraxial fields

Andrea Aiello

arxiv:1412.2349 v1 · 2014-12-07 · quant-ph · 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{UZADQP76Q5ADSJJG47QJWJTBGL}

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	2026-05-18T02:31:58.205802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a640383ffe8740392526e7e09b266132e0f49b675e97b3626ff65994d8809ab0

Aliases

arxiv: 1412.2349 · arxiv_version: 1412.2349v1 · doi: 10.48550/arxiv.1412.2349 · pith_short_12: UZADQP76Q5AD · pith_short_16: UZADQP76Q5ADSJJG · pith_short_8: UZADQP76

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/UZADQP76Q5ADSJJG47QJWJTBGL \
  | 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: a640383ffe8740392526e7e09b266132e0f49b675e97b3626ff65994d8809ab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92f836e016d9a8131054f3ad8b4837671facc5787a8b16a001691e0e1705a0eb",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-12-07T12:43:45Z",
    "title_canon_sha256": "bfd9f926b4872def832fe50eef469a4992fc4d21f1f2b55fbaea3aed00fb30cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2349",
    "kind": "arxiv",
    "version": 1
  }
}