Pith Number

pith:4WY4ZUI3

pith:2012:4WY4ZUI3ZQ3DG6YPP4FF6LMEAN

not attested not anchored not stored refs pending

How complicated must an optical component be?

David A. B. Miller

arxiv:1209.5499 v2 · 2012-09-25 · 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{4WY4ZUI3ZQ3DG6YPP4FF6LMEAN}

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	2026-05-18T01:54:19.188230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b1ccd11bcc36337b0f7f0a5f2d84035d0373a648fcf2252543071769729606

Aliases

arxiv: 1209.5499 · arxiv_version: 1209.5499v2 · doi: 10.48550/arxiv.1209.5499 · pith_short_12: 4WY4ZUI3ZQ3D · pith_short_16: 4WY4ZUI3ZQ3DG6YP · pith_short_8: 4WY4ZUI3

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/4WY4ZUI3ZQ3DG6YPP4FF6LMEAN \
  | 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: e5b1ccd11bcc36337b0f7f0a5f2d84035d0373a648fcf2252543071769729606

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8775c2ebdfb8c06027538465c6e280513e796099fe11877e56f9ffc6d6cd7a0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-09-25T05:26:13Z",
    "title_canon_sha256": "49025ed73a655d9bc13a2b3aaae442089d45ef5b776b633b22dcef99fc1d72fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5499",
    "kind": "arxiv",
    "version": 2
  }
}