Pith Number

pith:WJ4N3WEY

pith:2021:WJ4N3WEYNDBA544OONTAIPCBQY

not attested not anchored not stored refs pending

X-ray focusing by bent crystals: focal positions as predicted by the crystal lens equation and the dynamical diffraction theory

Jean-Pierre Guigay, Manuel Sanchez del Rio

arxiv:2105.08019 v2 · 2021-05-17 · 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{WJ4N3WEYNDBA544OONTAIPCBQY}

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	2026-07-05T03:46:20.253561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b278ddd89868c20ef38e7366043c41861b77231273a5d32ff78c1996aa9fda27

Aliases

arxiv: 2105.08019 · arxiv_version: 2105.08019v2 · doi: 10.48550/arxiv.2105.08019 · pith_short_12: WJ4N3WEYNDBA · pith_short_16: WJ4N3WEYNDBA544O · pith_short_8: WJ4N3WEY

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/WJ4N3WEYNDBA544OONTAIPCBQY \
  | 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: b278ddd89868c20ef38e7366043c41861b77231273a5d32ff78c1996aa9fda27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e0a93fd0d32ec72d1271d50ebe493ab9a663825575b9569d4810b054b77d268",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2021-05-17T17:13:38Z",
    "title_canon_sha256": "93e33b7f3d24d1e76405bfb9348a9560b31ba4d6ba5e36e10fee58a65f651d24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.08019",
    "kind": "arxiv",
    "version": 2
  }
}