Pith Number

pith:MPAP7VKH

pith:2018:MPAP7VKH7Q5HBP7V3PUDBHA27C

not attested not anchored not stored refs pending

Photons in the presence of parabolic mirrors

R. Guti\'errez-J\'auregui, R. J\'auregui

arxiv:1806.08285 v1 · 2018-06-21 · physics.optics · 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{MPAP7VKH7Q5HBP7V3PUDBHA27C}

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	2026-05-18T00:03:46.513435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c0ffd547fc3a70bff5dbe8309c1af88f41489c100c4a83ced21284b6e0bc81

Aliases

arxiv: 1806.08285 · arxiv_version: 1806.08285v1 · doi: 10.48550/arxiv.1806.08285 · pith_short_12: MPAP7VKH7Q5H · pith_short_16: MPAP7VKH7Q5HBP7V · pith_short_8: MPAP7VKH

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/MPAP7VKH7Q5HBP7V3PUDBHA27C \
  | 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: 63c0ffd547fc3a70bff5dbe8309c1af88f41489c100c4a83ced21284b6e0bc81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a063024b1e4a43cb8df02cfe5e2e6544cd4fb20cbfea5b67a95328080a7f688b",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-06-21T15:05:10Z",
    "title_canon_sha256": "eaa78d7e3c9421d0c044018882b540a1ba26a091ac691dc228ec93abd30cd057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08285",
    "kind": "arxiv",
    "version": 1
  }
}