Pith Number

pith:FUB252ON

pith:2015:FUB252ONVI3EYW6RQY4MLJL4C7

not attested not anchored not stored refs pending

General coupled mode theory in non-Hermitian waveguides

Jing Xu, Yuntian Chen

arxiv:1506.04224 v3 · 2015-06-13 · 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{FUB252ONVI3EYW6RQY4MLJL4C7}

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	2026-05-18T01:34:12.705665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d03aee9cdaa364c5bd18638c5a57c17d764b99eb5495e1a6aa9a13b17d9376e

Aliases

arxiv: 1506.04224 · arxiv_version: 1506.04224v3 · doi: 10.48550/arxiv.1506.04224 · pith_short_12: FUB252ONVI3E · pith_short_16: FUB252ONVI3EYW6R · pith_short_8: FUB252ON

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/FUB252ONVI3EYW6RQY4MLJL4C7 \
  | 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: 2d03aee9cdaa364c5bd18638c5a57c17d764b99eb5495e1a6aa9a13b17d9376e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07d3c4a3762746b43a0d2d2e689f9d2b13350c84cb4ad52a24f018b6b9314033",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-06-13T04:53:09Z",
    "title_canon_sha256": "5476f12be376365bf5bfb5f4bf170a71ffb57643b400e0e4e8d56b7cdb41593f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04224",
    "kind": "arxiv",
    "version": 3
  }
}