Pith Number

pith:NKPUZVGZ

pith:2012:NKPUZVGZZ77LINZQ4SUI6D5FB2

not attested not anchored not stored refs pending

Aberration-like cusped focusing in the post-paraxial Talbot effect

Christopher J Howls, James D Ring, Jari Lindberg, Mark R Dennis

arxiv:1204.5994 v1 · 2012-04-26 · 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{NKPUZVGZZ77LINZQ4SUI6D5FB2}

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	2026-05-18T01:57:43.711186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a9f4cd4d9cffeb43730e4a88f0fa50eac0156f4c2e8a0d4f125acac4cfe3930

Aliases

arxiv: 1204.5994 · arxiv_version: 1204.5994v1 · doi: 10.48550/arxiv.1204.5994 · pith_short_12: NKPUZVGZZ77L · pith_short_16: NKPUZVGZZ77LINZQ · pith_short_8: NKPUZVGZ

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/NKPUZVGZZ77LINZQ4SUI6D5FB2 \
  | 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: 6a9f4cd4d9cffeb43730e4a88f0fa50eac0156f4c2e8a0d4f125acac4cfe3930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50a0504a22d604f8e2a9650f9fc2b3e6263ce1043a68bae1563bdaaecf8c2186",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-04-26T18:04:54Z",
    "title_canon_sha256": "029f6850078bb9e8b1e17581ce5f245d175a1841600142c1245c41068d0167a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5994",
    "kind": "arxiv",
    "version": 1
  }
}