Pith Number

pith:N4HYIL2G

pith:2012:N4HYIL2GI7OMXMQMV5CT5X3TLM

not attested not anchored not stored refs pending

Cavity equations for a positive or negative refraction index material with electric and magnetic non-linearities

Daniel A. M\'artin, Miguel Hoyuelos

arxiv:1212.3974 v1 · 2012-12-17 · physics.optics · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4HYIL2GI7OMXMQMV5CT5X3TLM}

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	2026-05-18T03:38:21.847557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f0f842f4647dccbb20caf453edf735b152250197e84194fc54a1fd29ab3017c

Aliases

arxiv: 1212.3974 · arxiv_version: 1212.3974v1 · doi: 10.48550/arxiv.1212.3974 · pith_short_12: N4HYIL2GI7OM · pith_short_16: N4HYIL2GI7OMXMQM · pith_short_8: N4HYIL2G

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/N4HYIL2GI7OMXMQMV5CT5X3TLM \
  | 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: 6f0f842f4647dccbb20caf453edf735b152250197e84194fc54a1fd29ab3017c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94ba8909e8e38ae3e7cb9cef29dad715afc62552fd6338c445087dcbdb6066a3",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-12-17T12:48:19Z",
    "title_canon_sha256": "a4416da6a0cc9e5850d9ac939e635fd624e9fe2be76daf43474afd234334daeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3974",
    "kind": "arxiv",
    "version": 1
  }
}