Pith Number

pith:WNXY3WZX

pith:2018:WNXY3WZXG7ZNBI73WKARP4WMZN

not attested not anchored not stored refs pending

PT-symmetry breaking in multilayers with resonant loss and gain locks light propagation direction

Alexander Shalin, Alina Karabchevsky, Andrei Lavrinenko, Andrey Novitsky, Denis Novitsky

arxiv:1808.07477 v1 · 2018-08-22 · 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{WNXY3WZXG7ZNBI73WKARP4WMZN}

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	2026-05-18T00:06:36.875352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b36f8ddb3737f2d0a3fbb28117f2cccb4ad7092bbd4b384b9b061c505ee8dc30

Aliases

arxiv: 1808.07477 · arxiv_version: 1808.07477v1 · doi: 10.48550/arxiv.1808.07477 · pith_short_12: WNXY3WZXG7ZN · pith_short_16: WNXY3WZXG7ZNBI73 · pith_short_8: WNXY3WZX

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/WNXY3WZXG7ZNBI73WKARP4WMZN \
  | 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: b36f8ddb3737f2d0a3fbb28117f2cccb4ad7092bbd4b384b9b061c505ee8dc30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5026c3235458e359580e076aee6795e49ab05c50c444062213db6a82653fe92c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-08-22T16:11:50Z",
    "title_canon_sha256": "b71fbfe32b8c50aa430e7fee11b4f87143fc7ef6c8f0447584e9cb41d4a4cffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07477",
    "kind": "arxiv",
    "version": 1
  }
}