Pith Number

pith:W24UU7UF

pith:2015:W24UU7UFGVIBSJZILMIEQY73WN

not attested not anchored not stored refs pending

The Ermakov-Pinney Equation: its varied origins and the effects of the introduction of symmetry-breaking functions

Peter Gavin Lawrence Leach, Richard Michael Morris

arxiv:1510.08992 v1 · 2015-10-30 · 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{W24UU7UFGVIBSJZILMIEQY73WN}

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.

Cited by

1 paper in Pith

Projective Time, Cayley Transformations and the Schwarzian Geometry of the Free Particle--Oscillator Correspondence

Receipt and verification

First computed	2026-05-18T01:28:23.740000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6b94a7e8535501927285b104863fbb37e19d8b0060c037072bcecddbd191aaf

Aliases

arxiv: 1510.08992 · arxiv_version: 1510.08992v1 · doi: 10.48550/arxiv.1510.08992 · pith_short_12: W24UU7UFGVIB · pith_short_16: W24UU7UFGVIBSJZI · pith_short_8: W24UU7UF

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/W24UU7UFGVIBSJZILMIEQY73WN \
  | 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: b6b94a7e8535501927285b104863fbb37e19d8b0060c037072bcecddbd191aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6aeaa926866d6da99123db2b54d8c92844c7e31e275f722bd9fc37a64da08e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-30T07:40:07Z",
    "title_canon_sha256": "2448fbb205ecfa737e94365101e4d48468cfd140b95ccc59a8e5fcbe0df919e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08992",
    "kind": "arxiv",
    "version": 1
  }
}