Pith Number

pith:HXRE7UNJ

pith:2011:HXRE7UNJFPUGQZZZXIGBLWRA2Q

not attested not anchored not stored refs pending

Lie symmetries and exact solutions of variable coefficient mKdV equations: an equivalence based approach

Olena Vaneeva

arxiv:1104.1981 v2 · 2011-04-11 · nlin.SI · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXRE7UNJFPUGQZZZXIGBLWRA2Q}

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	2026-05-18T04:05:05.330627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3de24fd1a92be8686739ba0c15da20d4372c12d5b93bee97e32e32896752c4d3

Aliases

arxiv: 1104.1981 · arxiv_version: 1104.1981v2 · doi: 10.48550/arxiv.1104.1981 · pith_short_12: HXRE7UNJFPUG · pith_short_16: HXRE7UNJFPUGQZZZ · pith_short_8: HXRE7UNJ

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/HXRE7UNJFPUGQZZZXIGBLWRA2Q \
  | 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: 3de24fd1a92be8686739ba0c15da20d4372c12d5b93bee97e32e32896752c4d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "def02364263597c7e3db3e14f1ce5465ff57db9b21618da9f4930ca23317145c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2011-04-11T15:47:22Z",
    "title_canon_sha256": "e8f853ac42954bd360c938fe4fef3899807d1dd75203b4dd504228674c5a2ccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1981",
    "kind": "arxiv",
    "version": 2
  }
}