Pith Number

pith:TGTKCA7B

pith:2016:TGTKCA7BWG5WQ3MLO6YD52AX5Z

not attested not anchored not stored refs pending

Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems

Guanglei Wang, Hongya Xu, Liang Huang, Ying-Cheng Lai

arxiv:1612.07825 v1 · 2016-12-22 · quant-ph · 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{TGTKCA7BWG5WQ3MLO6YD52AX5Z}

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	2026-05-18T00:51:41.319136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99a6a103e1b1bb686d8b77b03ee817ee7cc639e7af9904b0811ae9199117ec21

Aliases

arxiv: 1612.07825 · arxiv_version: 1612.07825v1 · doi: 10.48550/arxiv.1612.07825 · pith_short_12: TGTKCA7BWG5W · pith_short_16: TGTKCA7BWG5WQ3ML · pith_short_8: TGTKCA7B

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/TGTKCA7BWG5WQ3MLO6YD52AX5Z \
  | 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: 99a6a103e1b1bb686d8b77b03ee817ee7cc639e7af9904b0811ae9199117ec21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0028af407106ee730ffcf1cd4ca3d770c0062c62ae6effc46438b94913c671a2",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-12-22T22:01:24Z",
    "title_canon_sha256": "a34519c57168d6cd2969a15130bd9d88f60a17a72c4d9c719d6102ec11924826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07825",
    "kind": "arxiv",
    "version": 1
  }
}