Pith Number

pith:5QMHQ75J

pith:2015:5QMHQ75JHTJSS7PYEDUYGVZGAB

not attested not anchored not stored refs pending

The homogenisation of Maxwell's equations with applications to photonic crystals and localised waveforms on metafilms

B. J. Maling, D. J. Colquitt, R. V. Craster

arxiv:1506.02292 v1 · 2015-06-07 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QMHQ75JHTJSS7PYEDUYGVZGAB}

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	2026-05-18T01:55:51.584097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec18787fa93cd3297df820e9835726005f134a6e212aa6d978bee55283621037

Aliases

arxiv: 1506.02292 · arxiv_version: 1506.02292v1 · doi: 10.48550/arxiv.1506.02292 · pith_short_12: 5QMHQ75JHTJS · pith_short_16: 5QMHQ75JHTJSS7PY · pith_short_8: 5QMHQ75J

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/5QMHQ75JHTJSS7PYEDUYGVZGAB \
  | 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: ec18787fa93cd3297df820e9835726005f134a6e212aa6d978bee55283621037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df940d5778ef379492134edf73abcbc56928ef0124d13bbdc59ce1d168e6b2d9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-07T18:13:27Z",
    "title_canon_sha256": "ea443f3a40fba47a9f47d2194514906312b32c0c43b6318cf60384be6e4a7494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02292",
    "kind": "arxiv",
    "version": 1
  }
}