Pith Number

pith:7JFTZQDI

pith:2020:7JFTZQDIVLVFP4PQXLI4BHAS5J

not attested not anchored not stored refs pending

Perturbation theory for Maxwell's equations in anisotropic materials with shifting boundaries

Boyu Fan, Di Yu, Guangwei Deng, Haizhi Song, Jingdao Tang, Ju Gao, Nan Xu, Qiang Zhou, Xiaomin Lv, You Wang

arxiv:2011.13267 v1 · 2020-11-26 · physics.comp-ph · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JFTZQDIVLVFP4PQXLI4BHAS5J}

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	2026-07-05T01:54:52.565819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa4b3cc068aaea57f1f0bad1c09c12ea43ad6e839d2f1d1a078037ed4a5269ac

Aliases

arxiv: 2011.13267 · arxiv_version: 2011.13267v1 · doi: 10.48550/arxiv.2011.13267 · pith_short_12: 7JFTZQDIVLVF · pith_short_16: 7JFTZQDIVLVFP4PQ · pith_short_8: 7JFTZQDI

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/7JFTZQDIVLVFP4PQXLI4BHAS5J \
  | 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: fa4b3cc068aaea57f1f0bad1c09c12ea43ad6e839d2f1d1a078037ed4a5269ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "553dcbdd14bb46331d0061dad363916de35c5b8f6548ad0de7d61e8028571c82",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2020-11-26T13:01:37Z",
    "title_canon_sha256": "c30d035cf591f431acd25cde2f735a16fb96b89841c1624001f8a70679911607"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.13267",
    "kind": "arxiv",
    "version": 1
  }
}