Pith Number

pith:VLZLZMYD

pith:2019:VLZLZMYDW7HMP4TDIUWZART42L

not attested not anchored not stored refs pending

Modelling phase imperfections in compound refractive lenses

Manuel Sanchez del Rio, Rafael Celestre, Raymond Barrett, Sebastien Berujon, Thomas Roth

arxiv:1911.06712 v3 · 2019-11-15 · 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{VLZLZMYDW7HMP4TDIUWZART42L}

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	2026-07-05T00:39:39.924645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaf2bcb303b7cec7f263452d90467cd2f5c9a0f9c4f02eefd856eb17b9edc841

Aliases

arxiv: 1911.06712 · arxiv_version: 1911.06712v3 · doi: 10.48550/arxiv.1911.06712 · pith_short_12: VLZLZMYDW7HM · pith_short_16: VLZLZMYDW7HMP4TD · pith_short_8: VLZLZMYD

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/VLZLZMYDW7HMP4TDIUWZART42L \
  | 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: aaf2bcb303b7cec7f263452d90467cd2f5c9a0f9c4f02eefd856eb17b9edc841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a9f112ad93e2b28138183de892660538a8ad5301ea76054d30bbe84b7fa5358",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-11-15T15:51:11Z",
    "title_canon_sha256": "5000023a57048f1dac54f8a3a16817427d2b79d873eee2c4865757a004f4e45c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.06712",
    "kind": "arxiv",
    "version": 3
  }
}