Pith Number

pith:6FSC3FBC

pith:2016:6FSC3FBCP3CET57AVKVZIU53QO

not attested not anchored not stored refs pending

Symmetry-Breaking Transition and Spectral Singularity in Coupled $\mathcal{PT}$-Symmetric Quantum Potentials

Yu Jiang

arxiv:1612.02469 v1 · 2016-12-07 · quant-ph · 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{6FSC3FBCP3CET57AVKVZIU53QO}

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	2026-05-18T00:55:33.661982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1642d94227ec449f7e0aaab9453bb83939ffe15d345af43d55b722ffcc75093

Aliases

arxiv: 1612.02469 · arxiv_version: 1612.02469v1 · doi: 10.48550/arxiv.1612.02469 · pith_short_12: 6FSC3FBCP3CE · pith_short_16: 6FSC3FBCP3CET57A · pith_short_8: 6FSC3FBC

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/6FSC3FBCP3CET57AVKVZIU53QO \
  | 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: f1642d94227ec449f7e0aaab9453bb83939ffe15d345af43d55b722ffcc75093

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5033d3e25ee33e360deaa13391aa274a8b15f4ec523f1fd5f392697c23a60df0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-12-07T21:53:22Z",
    "title_canon_sha256": "2b0f54db4a7382a0d18f13b43f6c0ed0699efdaa8453e79d244e1c2915d3fb3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02469",
    "kind": "arxiv",
    "version": 1
  }
}