Pith Number

pith:BBF2ZAYF

pith:2017:BBF2ZAYFJ57AIG3KOFHYMMFWO2

not attested not anchored not stored refs pending

Lagrangian description and Hamiltonian density for the electrodynamics of dispersive metamaterials

Pi-Gang Luan

arxiv:1712.10102 v1 · 2017-12-29 · physics.class-ph · physics.app-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBF2ZAYFJ57AIG3KOFHYMMFWO2}

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	2026-05-18T00:27:03.936889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

084bac83054f7e041b6a714f8630b6769e7ef290920e462a4409e5a384eeee35

Aliases

arxiv: 1712.10102 · arxiv_version: 1712.10102v1 · doi: 10.48550/arxiv.1712.10102 · pith_short_12: BBF2ZAYFJ57A · pith_short_16: BBF2ZAYFJ57AIG3K · pith_short_8: BBF2ZAYF

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/BBF2ZAYFJ57AIG3KOFHYMMFWO2 \
  | 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: 084bac83054f7e041b6a714f8630b6769e7ef290920e462a4409e5a384eeee35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baa09fe103b325ee7f291fb0e3a5514b70d779b5aa50ae02ac6f67e00ba56eff",
    "cross_cats_sorted": [
      "physics.app-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2017-12-29T02:47:08Z",
    "title_canon_sha256": "3ca83f060999b21b0cb087e0c6fd9a23eec120ca7c824598b41840e54ce8f4e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10102",
    "kind": "arxiv",
    "version": 1
  }
}