Pith Number

pith:O3NH7FOF

pith:2001:O3NH7FOF4MYF6ER6XMT5NVCIXM

not attested not anchored not stored refs pending

Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics

Clare Dunning, Patrick Dorey, Roberto Tateo

arxiv:hep-th/0103051 v5 · 2001-03-07 · hep-th · cond-mat · math-ph · math.MP · nlin.SI · 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{O3NH7FOF4MYF6ER6XMT5NVCIXM}

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.

Cited by

2 papers in Pith

Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence

Receipt and verification

First computed	2026-07-04T15:20:56.745110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76da7f95c5e3305f123ebb27d6d448bb2a5ec9340c1ee92d4876f39c4da0719d

Aliases

arxiv: hep-th/0103051 · arxiv_version: hep-th/0103051v5 · doi: 10.48550/arxiv.hep-th/0103051 · pith_short_12: O3NH7FOF4MYF · pith_short_16: O3NH7FOF4MYF6ER6 · pith_short_8: O3NH7FOF

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/O3NH7FOF4MYF6ER6XMT5NVCIXM \
  | 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: 76da7f95c5e3305f123ebb27d6d448bb2a5ec9340c1ee92d4876f39c4da0719d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82254730c02e70d57ad77754cee071ced967e2472c6d6583096d716a60897009",
    "cross_cats_sorted": [
      "cond-mat",
      "math-ph",
      "math.MP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-03-07T19:51:02Z",
    "title_canon_sha256": "a0cdc64567b624ed62bb98e1211339ff1ff043fb0e7ab6fe5ffc427cc0ef58f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0103051",
    "kind": "arxiv",
    "version": 5
  }
}