Pith Number

pith:XUPZF7G2

pith:2010:XUPZF7G2GQL7ETHKBCQJZFVMIW

not attested not anchored not stored refs pending

Metamaterial-based gradient index lens with strong focusing in the THz frequency range

Benjamin Reinhard, Bernd Krolla, Jens Neu, Marco Rahm, Oliver Paul, Ren\'e Beigang

arxiv:1012.1746 v1 · 2010-12-08 · 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{XUPZF7G2GQL7ETHKBCQJZFVMIW}

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	2026-05-18T04:32:55.543115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd1f92fcda3417f24cea08a09c96ac459e84ed44e7d7fc0b77bdb97e083292d8

Aliases

arxiv: 1012.1746 · arxiv_version: 1012.1746v1 · doi: 10.48550/arxiv.1012.1746 · pith_short_12: XUPZF7G2GQL7 · pith_short_16: XUPZF7G2GQL7ETHK · pith_short_8: XUPZF7G2

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/XUPZF7G2GQL7ETHKBCQJZFVMIW \
  | 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: bd1f92fcda3417f24cea08a09c96ac459e84ed44e7d7fc0b77bdb97e083292d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd9dc3ec27af31c09dfa30ecd5fc718283fb1d6f25abc8e36d2107d73c45e052",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-12-08T12:00:47Z",
    "title_canon_sha256": "6943a66be6545cad8cedc4203d9068a6811ecd5cc7f146b1ba1d35ef79e22837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1746",
    "kind": "arxiv",
    "version": 1
  }
}