Pith Number

pith:KZUEUR2B

pith:2010:KZUEUR2BGKNWU6HSZV2INNWHUA

not attested not anchored not stored refs pending

Unnecessary Exact Solutions of Nonlinear Ordinary Differential Equations

Nikolay A. Kudryashov

arxiv:1011.1623 v1 · 2010-11-07 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZUEUR2BGKNWU6HSZV2INNWHUA}

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	2026-05-18T04:36:50.807424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56684a4741329b6a78f2cd7486b6c7a00bd7f08cfc3f8226e37e58fbdbdcb140

Aliases

arxiv: 1011.1623 · arxiv_version: 1011.1623v1 · doi: 10.48550/arxiv.1011.1623 · pith_short_12: KZUEUR2BGKNW · pith_short_16: KZUEUR2BGKNWU6HS · pith_short_8: KZUEUR2B

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/KZUEUR2BGKNWU6HSZV2INNWHUA \
  | 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: 56684a4741329b6a78f2cd7486b6c7a00bd7f08cfc3f8226e37e58fbdbdcb140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa0c7ac7f63fa667bc3f61a05f9e281eca7d647e84512447b2fac134eac09197",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2010-11-07T08:40:26Z",
    "title_canon_sha256": "b9fcf7a4340ccf3c8e967c9a4435e48ec9bf5795e068bedf009ab192afccd57b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1623",
    "kind": "arxiv",
    "version": 1
  }
}