Pith Number

pith:XIEXRH64

pith:2009:XIEXRH64M2H3QJ7ACXCYJ4PILK

not attested not anchored not stored refs pending

Regularity theory for the fractional harmonic oscillator

J. L. Torrea, P. R. Stinga

arxiv:0912.4187 v2 · 2009-12-21 · math.AP · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIEXRH64M2H3QJ7ACXCYJ4PILK}

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	2026-05-18T04:30:02.898280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba09789fdc668fb827e015c584f1e85a84d247bfa98a10a3e1280c4201206dbd

Aliases

arxiv: 0912.4187 · arxiv_version: 0912.4187v2 · doi: 10.48550/arxiv.0912.4187 · pith_short_12: XIEXRH64M2H3 · pith_short_16: XIEXRH64M2H3QJ7A · pith_short_8: XIEXRH64

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/XIEXRH64M2H3QJ7ACXCYJ4PILK \
  | 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: ba09789fdc668fb827e015c584f1e85a84d247bfa98a10a3e1280c4201206dbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1ab927dea1136716a370fcce251cca5ee1d0838d285bb58ca537fba9c51e836",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-12-21T15:13:42Z",
    "title_canon_sha256": "5e14d39ebf68fbfed63153318b1a293855c4f95bde01850f264b92f1469c823b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4187",
    "kind": "arxiv",
    "version": 2
  }
}