Pith Number

pith:XXUAMYBA

pith:2010:XXUAMYBASXHJKXDZKI4DF7HXS4

not attested not anchored not stored refs pending

Reflectionless PT-symmetric potentials in the one-dimensional Dirac equation

Alberto Ventura, Francesco Cannata

arxiv:1001.2964 v2 · 2010-01-18 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXUAMYBASXHJKXDZKI4DF7HXS4}

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	2026-05-18T02:09:43.219774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bde806602095ce955c79523832fcf7970ab68ade8d5db506d26f8ffdd2c62958

Aliases

arxiv: 1001.2964 · arxiv_version: 1001.2964v2 · doi: 10.48550/arxiv.1001.2964 · pith_short_12: XXUAMYBASXHJ · pith_short_16: XXUAMYBASXHJKXDZ · pith_short_8: XXUAMYBA

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/XXUAMYBASXHJKXDZKI4DF7HXS4 \
  | 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: bde806602095ce955c79523832fcf7970ab68ade8d5db506d26f8ffdd2c62958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce00ea758c207984c4f3a2c672102ad28c01ff5be07718ad31b93e7cfcf07a06",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-01-18T07:09:37Z",
    "title_canon_sha256": "a50e1a916612bf29507f62473412273670a4e8cb1235cf38d2dbedde8a6555a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2964",
    "kind": "arxiv",
    "version": 2
  }
}