Pith Number

pith:ZO4JUGZF

pith:2013:ZO4JUGZFYYWONQK4AKP7HCBBYJ

not attested not anchored not stored refs pending

Ray transfer matrix for a spiral phase plate

E. Munro, H. Shi, M. A. Alonso, M. Bhattacharya, M. Eggleston, T. Godat

arxiv:1305.4138 v1 · 2013-05-17 · 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{ZO4JUGZFYYWONQK4AKP7HCBBYJ}

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	2026-05-18T01:22:25.351636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbb89a1b25c62ce6c15c029ff38821c27ffa38541f782069021ca6bf6cbe9a13

Aliases

arxiv: 1305.4138 · arxiv_version: 1305.4138v1 · doi: 10.48550/arxiv.1305.4138 · pith_short_12: ZO4JUGZFYYWO · pith_short_16: ZO4JUGZFYYWONQK4 · pith_short_8: ZO4JUGZF

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/ZO4JUGZFYYWONQK4AKP7HCBBYJ \
  | 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: cbb89a1b25c62ce6c15c029ff38821c27ffa38541f782069021ca6bf6cbe9a13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ebb77bf6f26f8b871a2798c44fc61b379c0edd5b5456963d5e6e89dd7c501b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-05-17T17:33:50Z",
    "title_canon_sha256": "557ca8f953ae200860fddd4c6461145b1ada2d6635eed6dde1b95dc926268630"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4138",
    "kind": "arxiv",
    "version": 1
  }
}