Pith Number

pith:I5PNJ6QR

pith:2015:I5PNJ6QRUH4UO7DPWILMNMFPDJ

not attested not anchored not stored refs pending

The combination of directional outputs and single-mode operation in circular microdisk with broken PT symmetry

Jiankai Li, Meng Li, Nan Zhang, Qinghai Song, Shuai Liu, Shumin Xiao, Wenzhao Sun

arxiv:1505.04504 v1 · 2015-05-18 · 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{I5PNJ6QRUH4UO7DPWILMNMFPDJ}

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	2026-05-18T01:28:55.967348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

475ed4fa11a1f9477c6fb216c6b0af1a77be7ba34884d1d1d05c2ce4f3e478e4

Aliases

arxiv: 1505.04504 · arxiv_version: 1505.04504v1 · doi: 10.48550/arxiv.1505.04504 · pith_short_12: I5PNJ6QRUH4U · pith_short_16: I5PNJ6QRUH4UO7DP · pith_short_8: I5PNJ6QR

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/I5PNJ6QRUH4UO7DPWILMNMFPDJ \
  | 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: 475ed4fa11a1f9477c6fb216c6b0af1a77be7ba34884d1d1d05c2ce4f3e478e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "223089af505ca056cf99bcbcf4e422ad28f04a5312c3caf4a567b0205046233a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-05-18T04:07:50Z",
    "title_canon_sha256": "09e9e9191685bb78c7c00061c37585155d100a060ec485bae9abf8b658186812"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04504",
    "kind": "arxiv",
    "version": 1
  }
}