Pith Number

pith:JOWGT67A

pith:2012:JOWGT67AL3F4G4QF75QPJA4ZO3

not attested not anchored not stored refs pending

Universal spectral behavior of $x^2(ix)^\epsilon$ potentials

Carl M. Bender, Daniel W. Hook

arxiv:1205.4425 v1 · 2012-05-20 · 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{JOWGT67AL3F4G4QF75QPJA4ZO3}

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	2026-05-18T03:23:10.824908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bac69fbe05ecbc37205ff60f4839976ff325de61950c64e219ae221d3f4ccf3

Aliases

arxiv: 1205.4425 · arxiv_version: 1205.4425v1 · doi: 10.48550/arxiv.1205.4425 · pith_short_12: JOWGT67AL3F4 · pith_short_16: JOWGT67AL3F4G4QF · pith_short_8: JOWGT67A

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/JOWGT67AL3F4G4QF75QPJA4ZO3 \
  | 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: 4bac69fbe05ecbc37205ff60f4839976ff325de61950c64e219ae221d3f4ccf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2b91526eee3cf3af21c18370caa819fc892cab0caea14da774e1ba9a5bcf9d3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-05-20T15:21:06Z",
    "title_canon_sha256": "62b386b598d3179bcc918aa0c18aad23448307d3f3ca787602d6613551e3a914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4425",
    "kind": "arxiv",
    "version": 1
  }
}