Pith Number

pith:6F4C4EBO

pith:2017:6F4C4EBOPIDZ5WLYBOJPDPN7YO

not attested not anchored not stored refs pending

Field expansions for systems of strongly coupled plasmonic nanoparticles

Habib Ammari, Hai Zhang, Matias Ruiz, Sanghyeon Yu

arxiv:1709.08469 v1 · 2017-09-25 · math.NA · 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{6F4C4EBOPIDZ5WLYBOJPDPN7YO}

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	2026-05-18T00:34:25.554500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1782e102e7a079ed9780b92f1bdbfc3aaac220321c4415d0297d96c5f906426

Aliases

arxiv: 1709.08469 · arxiv_version: 1709.08469v1 · doi: 10.48550/arxiv.1709.08469 · pith_short_12: 6F4C4EBOPIDZ · pith_short_16: 6F4C4EBOPIDZ5WLY · pith_short_8: 6F4C4EBO

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/6F4C4EBOPIDZ5WLYBOJPDPN7YO \
  | 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: f1782e102e7a079ed9780b92f1bdbfc3aaac220321c4415d0297d96c5f906426

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0270a7aef24c1854888d7247e5755a5e954bbe82bb91fda23b30ca5e30768e74",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-09-25T13:09:05Z",
    "title_canon_sha256": "50ad428bdd5d1c9d51e86de37fba4f74d6193a9183f332724dc89fd80c6cea2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08469",
    "kind": "arxiv",
    "version": 1
  }
}