Pith Number

pith:6EMPWU7H

pith:2017:6EMPWU7HXYE2VWIIIX56GQT6JQ

not attested not anchored not stored refs pending

Quantum Graphs: $ \mathcal{PT}$-symmetry and reflection symmetry of the spectrum

B. Majidzadeh Garjani, P. Kurasov

arxiv:1701.06334 v1 · 2017-01-23 · 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{6EMPWU7HXYE2VWIIIX56GQT6JQ}

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	2026-05-18T00:49:36.278607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f118fb53e7be09aad90845fbe3427e4c24b34c8e1af3b319cd922ec2bda0a92a

Aliases

arxiv: 1701.06334 · arxiv_version: 1701.06334v1 · doi: 10.48550/arxiv.1701.06334 · pith_short_12: 6EMPWU7HXYE2 · pith_short_16: 6EMPWU7HXYE2VWII · pith_short_8: 6EMPWU7H

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/6EMPWU7HXYE2VWIIIX56GQT6JQ \
  | 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: f118fb53e7be09aad90845fbe3427e4c24b34c8e1af3b319cd922ec2bda0a92a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e528cb2792b06270a9cd4e2e459f6c41add66efde7fa03f003586ebd4cb95df9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-01-23T11:13:18Z",
    "title_canon_sha256": "bb9e70b52f05749aabfff0dd81b6ae1e840a7c4c7353195283e94dc8fdc0131a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06334",
    "kind": "arxiv",
    "version": 1
  }
}