Pith Number

pith:6GJHZMTQ

pith:2012:6GJHZMTQUPAC4LVZB4EU34UTBA

not attested not anchored not stored refs pending

On integrable rational potentials of the Dirac equation

Maria Przybylska, Tomasz Stachowiak

arxiv:1201.5143 v4 · 2012-01-24 · 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{6GJHZMTQUPAC4LVZB4EU34UTBA}

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	2026-05-18T03:33:26.366699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1927cb270a3c02e2eb90f094df293083a659a0df08da9f384eee54b5335925c

Aliases

arxiv: 1201.5143 · arxiv_version: 1201.5143v4 · doi: 10.48550/arxiv.1201.5143 · pith_short_12: 6GJHZMTQUPAC · pith_short_16: 6GJHZMTQUPAC4LVZ · pith_short_8: 6GJHZMTQ

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/6GJHZMTQUPAC4LVZB4EU34UTBA \
  | 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: f1927cb270a3c02e2eb90f094df293083a659a0df08da9f384eee54b5335925c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ac1ae9d9c16be74ed20d2c25fe4d41238d7c513da4d2cc5fb5b664fa563ceb6",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-24T22:19:09Z",
    "title_canon_sha256": "3b4aa27b41d9334d58e1890288b4f034095dc0ea0ce42ec2c71f3702f1e0d6ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5143",
    "kind": "arxiv",
    "version": 4
  }
}