Pith Number

pith:P5QQ5IIE

pith:2012:P5QQ5IIEJ223GQHHWPKYICLEYD

not attested not anchored not stored refs pending

Solution of the Sturm-Liouville and the Korteweg-de-Vries equations with periodic and quasi-periodic parameters using theory of vessels

Andrey Melnikov

arxiv:1205.5285 v3 · 2012-05-23 · math-ph · math.AP · math.CA · math.FA · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5QQ5IIEJ223GQHHWPKYICLEYD}

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	2026-05-18T03:38:55.925668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f610ea1044eb5b340e7b3d5840964c0f60ea38462a164fe32b9399fe96d30dc

Aliases

arxiv: 1205.5285 · arxiv_version: 1205.5285v3 · doi: 10.48550/arxiv.1205.5285 · pith_short_12: P5QQ5IIEJ223 · pith_short_16: P5QQ5IIEJ223GQHH · pith_short_8: P5QQ5IIE

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/P5QQ5IIEJ223GQHHWPKYICLEYD \
  | 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: 7f610ea1044eb5b340e7b3d5840964c0f60ea38462a164fe32b9399fe96d30dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdb77ca3a3a4002bad901f2fd39cf594fa3d0e01d11038609ed85f08f4e39479",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-23T20:28:05Z",
    "title_canon_sha256": "6aa5d36605af3d50158f1814edd4367b28f11e0a587a8ef71efba9b201069697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5285",
    "kind": "arxiv",
    "version": 3
  }
}