Pith Number

pith:6J66RTF5

pith:2019:6J66RTF5AHMHDKAYRPH5W346AU

not attested not anchored not stored refs pending

Linear and nonlinear electromagnetic waves in modulated honeycomb media

Liu Hong, Pipi Hu, Yi Zhu

arxiv:1909.04933 v1 · 2019-09-11 · math-ph · math.MP · 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{6J66RTF5AHMHDKAYRPH5W346AU}

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	2026-07-05T00:07:07.968234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f27de8ccbd01d871a8188bcfdb6f9e052061306e8b2c2bae49d9f0e1eb6ff026

Aliases

arxiv: 1909.04933 · arxiv_version: 1909.04933v1 · doi: 10.48550/arxiv.1909.04933 · pith_short_12: 6J66RTF5AHMH · pith_short_16: 6J66RTF5AHMHDKAY · pith_short_8: 6J66RTF5

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/6J66RTF5AHMHDKAYRPH5W346AU \
  | 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: f27de8ccbd01d871a8188bcfdb6f9e052061306e8b2c2bae49d9f0e1eb6ff026

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f47d17d4b0ae09f7a38a49406b08289fc8440ef0c45ed6a53356ebbf72381afa",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-09-11T09:21:43Z",
    "title_canon_sha256": "1c592eb086b74369550d70b71ca758835293cfd473490a17c89ea90d537b2bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.04933",
    "kind": "arxiv",
    "version": 1
  }
}