Pith Number

pith:4E4HNUGC

pith:2009:4E4HNUGCIOIFRLBCYPDFJ7LUJ6

not attested not anchored not stored refs pending

Sub-Wavelength Plasmonic Crystals: Dispersion Relations and Effective Properties

Robert Lipton, Santiago Fortes, Stephen Shipman

arxiv:0910.0889 v3 · 2009-10-06 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4E4HNUGCIOIFRLBCYPDFJ7LUJ6}

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	2026-05-18T02:11:26.462953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e13876d0c2439058ac22c3c654fd744f92118694114b50e49041c009623cfa75

Aliases

arxiv: 0910.0889 · arxiv_version: 0910.0889v3 · doi: 10.48550/arxiv.0910.0889 · pith_short_12: 4E4HNUGCIOIF · pith_short_16: 4E4HNUGCIOIFRLBC · pith_short_8: 4E4HNUGC

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/4E4HNUGCIOIFRLBCYPDFJ7LUJ6 \
  | 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: e13876d0c2439058ac22c3c654fd744f92118694114b50e49041c009623cfa75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca44b8cd90651937ba7e781ed0423e6aafaca89a4b6439f6a331038e4e27a7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-10-06T00:02:46Z",
    "title_canon_sha256": "fd1e7a4a8af53c3f0fccf01304bae5a51d6350c581f455b2e799a13e054a51a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0889",
    "kind": "arxiv",
    "version": 3
  }
}