Pith Number

pith:XKVKZQHO

pith:2016:XKVKZQHOMC5QYNGELFSR6WMXBR

not attested not anchored not stored refs pending

Dirichlet spectrum of the paradigm model of complex PT-symmetric potential: $V(x)=-(ix)^N$

Dhruv Sharma, Sachin Kumar, Zafar Ahmed

arxiv:1606.04757 v6 · 2016-06-15 · quant-ph · cond-mat.other · 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{XKVKZQHOMC5QYNGELFSR6WMXBR}

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	2026-05-18T00:40:08.221603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baaaacc0ee60bb0c34c459651f59970c73a1c7dd63304d190bb9f3e5a2b03d4e

Aliases

arxiv: 1606.04757 · arxiv_version: 1606.04757v6 · doi: 10.48550/arxiv.1606.04757 · pith_short_12: XKVKZQHOMC5Q · pith_short_16: XKVKZQHOMC5QYNGE · pith_short_8: XKVKZQHO

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/XKVKZQHOMC5QYNGELFSR6WMXBR \
  | 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: baaaacc0ee60bb0c34c459651f59970c73a1c7dd63304d190bb9f3e5a2b03d4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "755a64e9422055bc3b26ee55f5b245dc8c16a604d0b74a24138d4742fdd4056f",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-06-15T13:33:24Z",
    "title_canon_sha256": "ff5acc7606d4ff7556d00f9fa9d19962e6c6171a6f9ee3bb137575523c8a8156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04757",
    "kind": "arxiv",
    "version": 6
  }
}