Pith Number

pith:P3V4OVYY

pith:2020:P3V4OVYYKCM2LZG65XXBBFK3LM

not attested not anchored not stored refs pending

Tutorial on Electromagnetic Nonreciprocity and Its Origins

Ana D\'iaz-Rubio, Mohammad S. Mirmoosa, Sergei A. Tretyakov, Shanhui Fan, Viktar Asadchy

arxiv:2001.04848 v2 · 2020-01-10 · physics.app-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{P3V4OVYYKCM2LZG65XXBBFK3LM}

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	2026-07-05T01:41:16.219493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eebc757185099a5e4deedee10955b5b05bc9daf9ad92aa652dd0633efbaab42

Aliases

arxiv: 2001.04848 · arxiv_version: 2001.04848v2 · doi: 10.48550/arxiv.2001.04848 · pith_short_12: P3V4OVYYKCM2 · pith_short_16: P3V4OVYYKCM2LZG6 · pith_short_8: P3V4OVYY

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/P3V4OVYYKCM2LZG65XXBBFK3LM \
  | 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: 7eebc757185099a5e4deedee10955b5b05bc9daf9ad92aa652dd0633efbaab42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b764fa31f78b32d1a3357a8fce6234c6efefe5d96ecaf1aa994e9449b1f7b15",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.app-ph",
    "submitted_at": "2020-01-10T22:40:03Z",
    "title_canon_sha256": "afcdeb56f6933b466b8af8137ab7ccd6bfed3db54e86b55290f0a0cc6f0e8782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.04848",
    "kind": "arxiv",
    "version": 2
  }
}