Pith Number

pith:LPZX4HSJ

pith:2011:LPZX4HSJRX34KEYXAEDQK4W53Z

not attested not anchored not stored refs pending

PT symmetry in relativistic quantum mechanics

Carl M. Bender, Philip D. Mannheim

arxiv:1107.0501 v1 · 2011-07-03 · hep-th · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPZX4HSJRX34KEYXAEDQK4W53Z}

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	2026-05-18T02:01:25.412959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bf37e1e498df7c5131701070572ddde58438296fe074b1c97eee70e0e70904c

Aliases

arxiv: 1107.0501 · arxiv_version: 1107.0501v1 · doi: 10.48550/arxiv.1107.0501 · pith_short_12: LPZX4HSJRX34 · pith_short_16: LPZX4HSJRX34KEYX · pith_short_8: LPZX4HSJ

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/LPZX4HSJRX34KEYXAEDQK4W53Z \
  | 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: 5bf37e1e498df7c5131701070572ddde58438296fe074b1c97eee70e0e70904c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4ec1accec3fd5635d56651a40b380973b48087ff1362631889cba78a25eacc1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-07-03T22:11:49Z",
    "title_canon_sha256": "873bf7dd7390e744f9fdb1ed6be4f73e0bedbdb01e29ef6096968f2d02f7b5e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0501",
    "kind": "arxiv",
    "version": 1
  }
}