Pith Number

pith:LEZN4GB4

pith:2011:LEZN4GB4G4E2E6M6DBAEK32LK3

not attested not anchored not stored refs pending

On the wave functions and energy spectrum for a spin 1 particle in external Coulomb field

E.M. Ovsiyuk, V.M. Red'kov, V.V. Kisel

arxiv:1108.5858 v1 · 2011-08-30 · 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{LEZN4GB4G4E2E6M6DBAEK32LK3}

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	2026-05-18T04:14:28.384920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5932de183c3709a2799e1840456f4b56decfcd6580fc13b3fff09238f9fa694b

Aliases

arxiv: 1108.5858 · arxiv_version: 1108.5858v1 · doi: 10.48550/arxiv.1108.5858 · pith_short_12: LEZN4GB4G4E2 · pith_short_16: LEZN4GB4G4E2E6M6 · pith_short_8: LEZN4GB4

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/LEZN4GB4G4E2E6M6DBAEK32LK3 \
  | 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: 5932de183c3709a2799e1840456f4b56decfcd6580fc13b3fff09238f9fa694b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "212208e449b10b4ab351476dc9bd3ba5ca49964e2268afb31f231d3f5de0c128",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-08-30T07:55:02Z",
    "title_canon_sha256": "f1609cfdbcbc045aecf3000c3f02450f42ae0290d5058af3704c939cf54ccb14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5858",
    "kind": "arxiv",
    "version": 1
  }
}