Pith Number

pith:X7OY5EB7

pith:2016:X7OY5EB7DGNTW27LM7D3U2AC6Q

not attested not anchored not stored refs pending

Characterization of Parity-Time Symmetry in Photonic Lattices Using Heesh-Shubnikov Group Theory

Adam Mock

arxiv:1606.05044 v1 · 2016-06-16 · physics.optics · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7OY5EB7DGNTW27LM7D3U2AC6Q}

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	2026-05-18T01:00:25.415511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfdd8e903f199b3b6beb67c7ba6802f42ee958c1ee905b7f309dda1e85256f8d

Aliases

arxiv: 1606.05044 · arxiv_version: 1606.05044v1 · doi: 10.48550/arxiv.1606.05044 · pith_short_12: X7OY5EB7DGNT · pith_short_16: X7OY5EB7DGNTW27L · pith_short_8: X7OY5EB7

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/X7OY5EB7DGNTW27LM7D3U2AC6Q \
  | 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: bfdd8e903f199b3b6beb67c7ba6802f42ee958c1ee905b7f309dda1e85256f8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b18347088194d6d98f36ae4d3a85ab8c94628b8d26254060c75ebba9ec7f1c7",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-06-16T03:59:01Z",
    "title_canon_sha256": "67fa54a06afc6da629535a5ceb0e6930712aa3fe45fb3e89de9abbcf5ed20df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05044",
    "kind": "arxiv",
    "version": 1
  }
}