Pith Number

pith:RXMPG3UE

pith:2016:RXMPG3UE5W2L6K3BB2A4VF2Z7J

not attested not anchored not stored refs pending

Calculation of Beam Propagation through a Defected or a Misaligned Two-Lens System

Syed Azer Reza, Tariq Shamim Khwaja

arxiv:1605.02983 v1 · 2016-05-08 · physics.gen-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{RXMPG3UE5W2L6K3BB2A4VF2Z7J}

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	2026-05-18T01:15:07.962438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dd8f36e84edb4bf2b610e81ca9759fa5bd56a08aa0d2f658c7d1afb26a69abc

Aliases

arxiv: 1605.02983 · arxiv_version: 1605.02983v1 · doi: 10.48550/arxiv.1605.02983 · pith_short_12: RXMPG3UE5W2L · pith_short_16: RXMPG3UE5W2L6K3B · pith_short_8: RXMPG3UE

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/RXMPG3UE5W2L6K3BB2A4VF2Z7J \
  | 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: 8dd8f36e84edb4bf2b610e81ca9759fa5bd56a08aa0d2f658c7d1afb26a69abc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33c28768e5b5bea6cf04770033c8024d576f0938f67fe77c5b5754b3153bf09f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2016-05-08T21:18:20Z",
    "title_canon_sha256": "3c19935c1e06d148aeed89a285790b4565bda529baa0db82e9722498e2a40ded"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02983",
    "kind": "arxiv",
    "version": 1
  }
}