Pith Number

pith:QJIRJK5A

pith:2015:QJIRJK5AOQ6BZTYUAAFUHWD4VP

not attested not anchored not stored refs pending

All-real spectra in optical systems with arbitrary gain and loss distributions

Jianke Yang, Sean Nixon

arxiv:1512.07270 v1 · 2015-12-22 · 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{QJIRJK5AOQ6BZTYUAAFUHWD4VP}

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	2026-05-18T01:18:29.877765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

825114aba0743c1ccf14000b43d87cabcb186082bcd3c3c35ff98584c126d4c2

Aliases

arxiv: 1512.07270 · arxiv_version: 1512.07270v1 · doi: 10.48550/arxiv.1512.07270 · pith_short_12: QJIRJK5AOQ6B · pith_short_16: QJIRJK5AOQ6BZTYU · pith_short_8: QJIRJK5A

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/QJIRJK5AOQ6BZTYUAAFUHWD4VP \
  | 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: 825114aba0743c1ccf14000b43d87cabcb186082bcd3c3c35ff98584c126d4c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "589475104acab938932a7860cb7430c9dcb88fd117dd674e45556fd3a07e44ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-12-22T21:44:21Z",
    "title_canon_sha256": "2f385186d10526d500e599d88818edbb002a8b949cbc6ed6eaed2a42d2a00c64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07270",
    "kind": "arxiv",
    "version": 1
  }
}