Pith Number

pith:3T3LK3YU

pith:2016:3T3LK3YUPWFXTOS7NXMPFJC4AC

not attested not anchored not stored refs pending

Inverse Electromagnetic Diffraction by Biperiodic Dielectric Gratings

Peijun Li, Xue Jiang

arxiv:1612.02777 v1 · 2016-12-08 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3T3LK3YUPWFXTOS7NXMPFJC4AC}

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	2026-05-18T00:39:00.857501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcf6b56f147d8b79ba5f6dd8f2a45c00a174b7a623fbe0c7c8b607b74140c0d7

Aliases

arxiv: 1612.02777 · arxiv_version: 1612.02777v1 · doi: 10.48550/arxiv.1612.02777 · pith_short_12: 3T3LK3YUPWFX · pith_short_16: 3T3LK3YUPWFXTOS7 · pith_short_8: 3T3LK3YU

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/3T3LK3YUPWFXTOS7NXMPFJC4AC \
  | 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: dcf6b56f147d8b79ba5f6dd8f2a45c00a174b7a623fbe0c7c8b607b74140c0d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88c70a3f509934db6c43b09c1791fda7ad3d1a0c118a872239de3159a0c8d7d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-12-08T19:14:32Z",
    "title_canon_sha256": "4651a6215a1856cd993e9e53864758a06a5f38216d89fe2d96732bad5922c69c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02777",
    "kind": "arxiv",
    "version": 1
  }
}