Pith Number

pith:TNMWHMPM

pith:2015:TNMWHMPMH3DR2B5NTILE7SWTXI

not attested not anchored not stored refs pending

Foldy-Wouthuysen transformation for non-Hermitian Hamiltonians

Carl M. Bender, Jean Alexandre

arxiv:1501.01232 v2 · 2015-01-06 · hep-th

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNMWHMPMH3DR2B5NTILE7SWTXI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:41:14.264847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b5963b1ec3ec71d07ad9a164fcad3ba0e8f3113d2c8750483ddb2157a1daed2

Aliases

arxiv: 1501.01232 · arxiv_version: 1501.01232v2 · doi: 10.48550/arxiv.1501.01232 · pith_short_12: TNMWHMPMH3DR · pith_short_16: TNMWHMPMH3DR2B5N · pith_short_8: TNMWHMPM

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/TNMWHMPMH3DR2B5NTILE7SWTXI \
  | 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: 9b5963b1ec3ec71d07ad9a164fcad3ba0e8f3113d2c8750483ddb2157a1daed2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b647db6a380dbc75e10142d41afda916dbfe4eff7f786364b5a181ebc8ee1ece",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-01-06T16:51:43Z",
    "title_canon_sha256": "c512f5dfc2daee450e05908e84e759e0cf48d1a2e876aa3610939d44e3b4ef67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01232",
    "kind": "arxiv",
    "version": 2
  }
}