Pith Number

pith:IKTLK5XG

pith:2013:IKTLK5XGU43D2OMYYB3GUQ32X3

not attested not anchored not stored refs pending

The singular harmonic oscillator revisited

Antonio S. de Castro, Douglas R. M. Pimentel

arxiv:1304.0492 v1 · 2013-04-01 · 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{IKTLK5XGU43D2OMYYB3GUQ32X3}

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	2026-05-18T03:29:15.235848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42a6b576e6a7363d3998c0766a437abee3064a6c7ea0d6b3510a0aa02974317c

Aliases

arxiv: 1304.0492 · arxiv_version: 1304.0492v1 · doi: 10.48550/arxiv.1304.0492 · pith_short_12: IKTLK5XGU43D · pith_short_16: IKTLK5XGU43D2OMY · pith_short_8: IKTLK5XG

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/IKTLK5XGU43D2OMYYB3GUQ32X3 \
  | 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: 42a6b576e6a7363d3998c0766a437abee3064a6c7ea0d6b3510a0aa02974317c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "445017e8c70abfb2d3a3abca162d2eaac34dc45fe30e9e4297a7d2aad925967c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-04-01T22:40:21Z",
    "title_canon_sha256": "a82792510c4143dd2adbae59f440bc39435e0e64066b0718980129eccbff1429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0492",
    "kind": "arxiv",
    "version": 1
  }
}