Pith Number

pith:X5NNQBCG

pith:2019:X5NNQBCGYLLKNN46XO5NAFAYIG

not attested not anchored not stored refs pending

Electromagnetic Formalism of the Propagation and Amplification of Light

Andres Macho, F. Javier Fraile-Pelaez

arxiv:1907.06504 v1 · 2019-07-15 · 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{X5NNQBCGYLLKNN46XO5NAFAYIG}

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	2026-05-17T23:40:37.545055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf5ad80446c2d6a6b79ebbbad0141841bcdbd34eb149e46d5e001b972226ecbc

Aliases

arxiv: 1907.06504 · arxiv_version: 1907.06504v1 · doi: 10.48550/arxiv.1907.06504 · pith_short_12: X5NNQBCGYLLK · pith_short_16: X5NNQBCGYLLKNN46 · pith_short_8: X5NNQBCG

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/X5NNQBCGYLLKNN46XO5NAFAYIG \
  | 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: bf5ad80446c2d6a6b79ebbbad0141841bcdbd34eb149e46d5e001b972226ecbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27cbf4aa3e6bad7035b1656604023853356d0b7b77ab27fd1e749abdb383a0a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-07-15T13:45:39Z",
    "title_canon_sha256": "6db48df1205bd6d5a2fa3e02855c608280f722550045545b802a793142784bdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06504",
    "kind": "arxiv",
    "version": 1
  }
}