Pith Number

pith:DL62YSUO

pith:2013:DL62YSUOUS2Q32UFQR64ZE2XHJ

not attested not anchored not stored refs pending

Gaussian Beam Collimation via Transformation Media

Hongqiang Li, Jin Han, Yuancheng Fan

arxiv:1303.6997 v1 · 2013-03-27 · 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{DL62YSUOUS2Q32UFQR64ZE2XHJ}

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	2026-05-18T03:29:38.905342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1afdac4a8ea4b50dea85847dcc93573a75ff74cb34f72572473ac9291618f1d4

Aliases

arxiv: 1303.6997 · arxiv_version: 1303.6997v1 · doi: 10.48550/arxiv.1303.6997 · pith_short_12: DL62YSUOUS2Q · pith_short_16: DL62YSUOUS2Q32UF · pith_short_8: DL62YSUO

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/DL62YSUOUS2Q32UFQR64ZE2XHJ \
  | 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: 1afdac4a8ea4b50dea85847dcc93573a75ff74cb34f72572473ac9291618f1d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "857e142106366651cdec7bf21c3537f8be6eeb745e975ce3a9c20289c142fd78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-03-27T22:40:17Z",
    "title_canon_sha256": "78531de6ff7b480f50cda029de6ec129c3e00b03474f2643b0ab31112b0ce672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6997",
    "kind": "arxiv",
    "version": 1
  }
}