Pith Number

pith:QAHPNPJX

pith:2007:QAHPNPJXT3SAUOPGWC7SJMEIHK

not attested not anchored not stored refs pending

Overcritical PT-symmetric square well potential in the Dirac equation

Alberto Ventura, Francesco Cannata

arxiv:0708.4160 v1 · 2007-08-30 · 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{QAHPNPJXT3SAUOPGWC7SJMEIHK}

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	2026-07-04T17:05:24.224003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

800ef6bd379ee40a39e6b0bf24b0883ab45c6eaa47df5aaf8943f275cec64939

Aliases

arxiv: 0708.4160 · arxiv_version: 0708.4160v1 · doi: 10.48550/arxiv.0708.4160 · pith_short_12: QAHPNPJXT3SA · pith_short_16: QAHPNPJXT3SAUOPG · pith_short_8: QAHPNPJX

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/QAHPNPJXT3SAUOPGWC7SJMEIHK \
  | 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: 800ef6bd379ee40a39e6b0bf24b0883ab45c6eaa47df5aaf8943f275cec64939

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01854fb8314c7d1a61db1a414d274d51e0a50224bc0409f96c542b65500d5611",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-08-30T13:41:14Z",
    "title_canon_sha256": "167c0c34aeef2b8806ff3ce7ab85cd384ed580bf0be95e07c3b109e86f1df637"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.4160",
    "kind": "arxiv",
    "version": 1
  }
}