Pith Number

pith:3KBIDSKX

pith:2018:3KBIDSKXTTT6VCRJKKFYGFMSG6

not attested not anchored not stored refs pending

Direction-Dependent Parity-Time Phase Transition and Non-Reciprocal Directional Amplification with Dynamic Gain-Loss Modulation

Alex Y. Song, Qian Lin, Shanhui Fan, Yu Shi

arxiv:1806.00544 v1 · 2018-06-01 · physics.optics · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KBIDSKXTTT6VCRJKKFYGFMSG6}

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	2026-05-17T23:55:58.576637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da8281c9579ce7ea8a29528b831592379a2c4d75b5529d1e9e189a79073e6df5

Aliases

arxiv: 1806.00544 · arxiv_version: 1806.00544v1 · doi: 10.48550/arxiv.1806.00544 · pith_short_12: 3KBIDSKXTTT6 · pith_short_16: 3KBIDSKXTTT6VCRJ · pith_short_8: 3KBIDSKX

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/3KBIDSKXTTT6VCRJKKFYGFMSG6 \
  | 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: da8281c9579ce7ea8a29528b831592379a2c4d75b5529d1e9e189a79073e6df5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e4b5592682de72fa34950787604af9aca124cf8afc1f2c61664279118141f85",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-06-01T21:32:16Z",
    "title_canon_sha256": "3dc11f859e5cf8faa084e4116b821a499fb18c0cdb9995e68075bea5f79ac1ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00544",
    "kind": "arxiv",
    "version": 1
  }
}