Pith Number

pith:PCWLKJ7X

pith:2013:PCWLKJ7XG53IQ44GJ2E24PKQHX

not attested not anchored not stored refs pending

Classification of convergence rates of solutions of perturbed ordinary differential equations with regularly varying nonlinearity

Denis D. Patterson, John A. D. Appleby

arxiv:1303.3345 v4 · 2013-03-14 · 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{PCWLKJ7XG53IQ44GJ2E24PKQHX}

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	2026-05-18T01:11:18.743945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78acb527f737768873864e89ae3d503dde07147bc84ad9776c57f864e1723553

Aliases

arxiv: 1303.3345 · arxiv_version: 1303.3345v4 · doi: 10.48550/arxiv.1303.3345 · pith_short_12: PCWLKJ7XG53I · pith_short_16: PCWLKJ7XG53IQ44G · pith_short_8: PCWLKJ7X

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/PCWLKJ7XG53IQ44GJ2E24PKQHX \
  | 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: 78acb527f737768873864e89ae3d503dde07147bc84ad9776c57f864e1723553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "532f184d71529d1f07f3744b551444dd30d29ec0c6ce142a157b1aa47ab07d81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-14T05:30:51Z",
    "title_canon_sha256": "d014f7f83c6d7618863618e271915a7d339bbfb69a9b6cd694e85c66219503fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3345",
    "kind": "arxiv",
    "version": 4
  }
}