Pith Number

pith:4BYVWTBZ

pith:2016:4BYVWTBZE4NHKJHF2QP3JLU4ZT

not attested not anchored not stored refs pending

Pseudo-Hermitian Hamiltonians Generating Waveguide Mode Evolution

Penghua Chen, Y. D. Chong

arxiv:1609.09667 v5 · 2016-09-30 · physics.optics · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BYVWTBZE4NHKJHF2QP3JLU4ZT}

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	2026-05-18T00:41:25.873209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0715b4c39271a7524e5d41fb4ae9ccce752714e4c6a4edadf494a0d0d218e50

Aliases

arxiv: 1609.09667 · arxiv_version: 1609.09667v5 · doi: 10.48550/arxiv.1609.09667 · pith_short_12: 4BYVWTBZE4NH · pith_short_16: 4BYVWTBZE4NHKJHF · pith_short_8: 4BYVWTBZ

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/4BYVWTBZE4NHKJHF2QP3JLU4ZT \
  | 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: e0715b4c39271a7524e5d41fb4ae9ccce752714e4c6a4edadf494a0d0d218e50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a5aa536357d16769e2dfe5ff135bd2dafa265cd5bcc16265f43a676309baa30",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-09-30T10:55:35Z",
    "title_canon_sha256": "77bb484a6790f2c7b2d7bdd84fccbff3f7d4cbf7872e3f0512e58a0de7c87033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09667",
    "kind": "arxiv",
    "version": 5
  }
}