Pith Number

pith:QIF3CC5O

pith:2015:QIF3CC5O5FAIPO4SKKEILVMGRV

not attested not anchored not stored refs pending

On oscillation of solutions of linear differential equations

Janne Gr\"ohn, Jouni R\"atty\"a

arxiv:1506.00009 v1 · 2015-05-29 · math.CV · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIF3CC5O5FAIPO4SKKEILVMGRV}

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	2026-05-18T00:04:34.420232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

820bb10baee94087bb92528885d5868d57b4554fd269063c1ffbb9ad171cfb42

Aliases

arxiv: 1506.00009 · arxiv_version: 1506.00009v1 · doi: 10.48550/arxiv.1506.00009 · pith_short_12: QIF3CC5O5FAI · pith_short_16: QIF3CC5O5FAIPO4S · pith_short_8: QIF3CC5O

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/QIF3CC5O5FAIPO4SKKEILVMGRV \
  | 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: 820bb10baee94087bb92528885d5868d57b4554fd269063c1ffbb9ad171cfb42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f604c12068532931a983d7be9ef1f92e68c4a6ae2535d1611f9dae69fe3ba9e4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-05-29T20:05:16Z",
    "title_canon_sha256": "e72588bd91bd02323b3b2c54814c8951c9be0c3d999551fe51d90ad9c915c2ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00009",
    "kind": "arxiv",
    "version": 1
  }
}