Pith Number

pith:AZWCA5ZN

pith:2016:AZWCA5ZNKJAZEPYYPZF3WXZ767

not attested not anchored not stored refs pending

An inverse and analytic lens design method

Vasudevan Lakshminarayanan, Yang Lu

arxiv:1603.05306 v1 · 2016-03-16 · 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{AZWCA5ZNKJAZEPYYPZF3WXZ767}

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	2026-05-18T01:18:56.700925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

066c20772d5241923f187e4bbb5f3ff7f2f376471ba5f8252c1a09d1fa9a0429

Aliases

arxiv: 1603.05306 · arxiv_version: 1603.05306v1 · doi: 10.48550/arxiv.1603.05306 · pith_short_12: AZWCA5ZNKJAZ · pith_short_16: AZWCA5ZNKJAZEPYY · pith_short_8: AZWCA5ZN

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/AZWCA5ZNKJAZEPYYPZF3WXZ767 \
  | 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: 066c20772d5241923f187e4bbb5f3ff7f2f376471ba5f8252c1a09d1fa9a0429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af0e765cf0ef4106087a69e80d0e346f0acc9c61bbfe0486cdfc8fd9f097f5fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-03-16T23:00:00Z",
    "title_canon_sha256": "40cff91cdfebfe83574bf6cc56325ba023931ca8587af1988f01a63c6a5ccace"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05306",
    "kind": "arxiv",
    "version": 1
  }
}