Pith Number

pith:LQ4WXHZI

pith:2017:LQ4WXHZI3I72BCZY4HSAHEVEMR

not attested not anchored not stored refs pending

Hamiltonian formulation of systems with balanced loss-gain and exactly solvable models

Debdeep Sinha, Pijush K. Ghosh

arxiv:1707.01122 v3 · 2017-07-04 · hep-th · 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{LQ4WXHZI3I72BCZY4HSAHEVEMR}

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	2026-05-18T00:23:56.353940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c396b9f28da3fa08b38e1e40392a4647098575e984c34a03d635048fa2bfa51

Aliases

arxiv: 1707.01122 · arxiv_version: 1707.01122v3 · doi: 10.48550/arxiv.1707.01122 · pith_short_12: LQ4WXHZI3I72 · pith_short_16: LQ4WXHZI3I72BCZY · pith_short_8: LQ4WXHZI

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/LQ4WXHZI3I72BCZY4HSAHEVEMR \
  | 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: 5c396b9f28da3fa08b38e1e40392a4647098575e984c34a03d635048fa2bfa51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "356ce5038d5367c66b4f7675e8ed68cecc646195a6c1a01a2dcc5298756e903d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-07-04T18:12:10Z",
    "title_canon_sha256": "04f93494d1493e073ee076b37f716f4cc6e890171418500de3e4e56f7d51f884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01122",
    "kind": "arxiv",
    "version": 3
  }
}