Pith Number

pith:MUMMZDP2

pith:2019:MUMMZDP23HT3VGGJE3Y3UBFVC6

not attested not anchored not stored refs pending

Applying the Fokker--Planck equation to grating-based x-ray phase and dark-field imaging

David M. Paganin, Kaye S. Morgan

arxiv:1908.01452 v2 · 2019-08-05 · physics.optics · physics.app-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{MUMMZDP23HT3VGGJE3Y3UBFVC6}

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	2026-07-05T03:31:20.415163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6518cc8dfad9e7ba98c926f1ba04b517b84e860c6e1f0a16a4abd6fb2b8235b2

Aliases

arxiv: 1908.01452 · arxiv_version: 1908.01452v2 · doi: 10.48550/arxiv.1908.01452 · pith_short_12: MUMMZDP23HT3 · pith_short_16: MUMMZDP23HT3VGGJ · pith_short_8: MUMMZDP2

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/MUMMZDP23HT3VGGJE3Y3UBFVC6 \
  | 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: 6518cc8dfad9e7ba98c926f1ba04b517b84e860c6e1f0a16a4abd6fb2b8235b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5409cb8b54751df57ce1ee2c8120287835764fbbe16a4ecf0e63dc1feed1b45b",
    "cross_cats_sorted": [
      "physics.app-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-08-05T03:19:28Z",
    "title_canon_sha256": "ea4313a2496cc8a1336db384502b4c944f232322c78bd8655f8a20137cbb64bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01452",
    "kind": "arxiv",
    "version": 2
  }
}