Pith Number

pith:MXF37EJB

pith:2014:MXF37EJBX3SC6MRSDLGNEWJRTC

not attested not anchored not stored refs pending

Field theory of monochromatic optical beams. I

Andrea Aiello

arxiv:1412.0553 v2 · 2014-12-01 · 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{MXF37EJBX3SC6MRSDLGNEWJRTC}

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	2026-05-18T02:32:21.455937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65cbbf9121bee42f32321accd25931988af0b9707390f465c5aec01341448774

Aliases

arxiv: 1412.0553 · arxiv_version: 1412.0553v2 · doi: 10.48550/arxiv.1412.0553 · pith_short_12: MXF37EJBX3SC · pith_short_16: MXF37EJBX3SC6MRS · pith_short_8: MXF37EJB

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/MXF37EJBX3SC6MRSDLGNEWJRTC \
  | 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: 65cbbf9121bee42f32321accd25931988af0b9707390f465c5aec01341448774

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d8e69f920da524cfaaee6e3fc2dcdbbb85c8d3a41fa209c9a0d64b4687c7e3c",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-12-01T17:32:33Z",
    "title_canon_sha256": "a21a9f69a2ca813cfd0f9e17797bc90f782e72b19286e67b2f67d2bf2b04aa93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0553",
    "kind": "arxiv",
    "version": 2
  }
}