Pith Number

pith:QPLY4X23

pith:2014:QPLY4X23WITOOOUCV3O6Y5POWU

not attested not anchored not stored refs pending

Enhanced group classification of Gardner equations with time-dependent coefficients

Christodoulos Sophocleous, Oksana Kuriksha, Olena Vaneeva

arxiv:1407.8488 v2 · 2014-07-31 · 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{QPLY4X23WITOOOUCV3O6Y5POWU}

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	2026-05-18T02:25:49.087463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83d78e5f5bb226e73a82aeddec75eeb51eb0a8a98c92bbca30e7f01d61bc1c15

Aliases

arxiv: 1407.8488 · arxiv_version: 1407.8488v2 · doi: 10.48550/arxiv.1407.8488 · pith_short_12: QPLY4X23WITO · pith_short_16: QPLY4X23WITOOOUC · pith_short_8: QPLY4X23

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/QPLY4X23WITOOOUCV3O6Y5POWU \
  | 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: 83d78e5f5bb226e73a82aeddec75eeb51eb0a8a98c92bbca30e7f01d61bc1c15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3175657dbdd3cf42dbcf161bd19010f469a89e82c2bbd2fd3fed4d5df2e9a36",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2014-07-31T16:57:41Z",
    "title_canon_sha256": "ab3c677f0b3766cec72f93e328f19ac1881696fce6e157205da375aebc347a83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8488",
    "kind": "arxiv",
    "version": 2
  }
}