Pith Number

pith:VCQR6PVK

pith:2012:VCQR6PVKM2WXTO3MSULNMWRYUJ

not attested not anchored not stored refs pending

Focussing light in a bi-anisotropic slab with negatively refracting materials

Boris Gralak, S. Anantha Ramakrishna, Sebastien Guenneau, Yan Liu

arxiv:1211.4699 v1 · 2012-11-20 · 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{VCQR6PVKM2WXTO3MSULNMWRYUJ}

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	2026-05-18T03:16:19.123867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8a11f3eaa66ad79bb6c9516d65a38a2539a806f0cff500cf5a14de797f44575

Aliases

arxiv: 1211.4699 · arxiv_version: 1211.4699v1 · doi: 10.48550/arxiv.1211.4699 · pith_short_12: VCQR6PVKM2WX · pith_short_16: VCQR6PVKM2WXTO3M · pith_short_8: VCQR6PVK

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/VCQR6PVKM2WXTO3MSULNMWRYUJ \
  | 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: a8a11f3eaa66ad79bb6c9516d65a38a2539a806f0cff500cf5a14de797f44575

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34ffdfdb4f891df34d60f17fa7da302d2ba74e106829d96a670833c8b81d0e3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-11-20T10:11:37Z",
    "title_canon_sha256": "a2d84019314003f4dbb679e6ca715bf1bd5636891bcf3b77b4a0f6a962ab8caf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4699",
    "kind": "arxiv",
    "version": 1
  }
}