Pith Number

pith:X4BRPXGR

pith:2012:X4BRPXGREREBMJFZCPSWQVROXI

not attested not anchored not stored refs pending

Graphene hyperlens for terahertz radiation

Andrei Andryieuski, Andrei V. Lavrinenko, Dmitry N. Chigrin

arxiv:1209.3951 v1 · 2012-09-18 · 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{X4BRPXGREREBMJFZCPSWQVROXI}

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	2026-05-18T03:44:02.076431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf0317dcd124481624b913e568562eba05c0665a86ef8512abcf85f34a47ccaa

Aliases

arxiv: 1209.3951 · arxiv_version: 1209.3951v1 · doi: 10.48550/arxiv.1209.3951 · pith_short_12: X4BRPXGREREB · pith_short_16: X4BRPXGREREBMJFZ · pith_short_8: X4BRPXGR

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/X4BRPXGREREBMJFZCPSWQVROXI \
  | 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: bf0317dcd124481624b913e568562eba05c0665a86ef8512abcf85f34a47ccaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80ab2db1a51eeda598e9273fdaf2086793932b6175e215d051d1d91ed2c84139",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-09-18T13:20:47Z",
    "title_canon_sha256": "f9bfc16d6567c2ad55d09d7eaa0ad5dfa9629e24f72736b12f71bb685ec1419e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3951",
    "kind": "arxiv",
    "version": 1
  }
}