Pith Number

pith:3GP7WYNS

pith:2014:3GP7WYNSUSBS5YKTNLQPKDPC2R

not attested not anchored not stored refs pending

Singular Mapping for a $PT$-Symmetric Sinusoidal Optical Lattice at the Symmetry-Breaking Threshold

H. F. Jones

arxiv:1411.6451 v1 · 2014-11-24 · physics.optics · math-ph · math.MP · 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{3GP7WYNSUSBS5YKTNLQPKDPC2R}

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	2026-05-18T01:41:26.354271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d99ffb61b2a4832ee1536ae0f50de2d4701ce18c959bb09e84d94cb78c952e2d

Aliases

arxiv: 1411.6451 · arxiv_version: 1411.6451v1 · doi: 10.48550/arxiv.1411.6451 · pith_short_12: 3GP7WYNSUSBS · pith_short_16: 3GP7WYNSUSBS5YKT · pith_short_8: 3GP7WYNS

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/3GP7WYNSUSBS5YKTNLQPKDPC2R \
  | 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: d99ffb61b2a4832ee1536ae0f50de2d4701ce18c959bb09e84d94cb78c952e2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bcccc77c333ec7f1d2dd416e10c80030603867155dfc3267dfb43d8304bd94d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2014-11-24T13:55:42Z",
    "title_canon_sha256": "bfdfb45f6f53aacf21958e425e53ff41e425e9876f22ef6180f05496ebea2bcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6451",
    "kind": "arxiv",
    "version": 1
  }
}