Pith Number

pith:5PMXCCLZ

pith:2016:5PMXCCLZ4PJLIZSBZ7YR67IRMF

not attested not anchored not stored refs pending

Existence, regularity and concentration phenomenon of nontrivial solitary waves for a class of Generalized Kadomtsev-Petviashvili (GKP) equation in $\mathbb{R}^2$

Claudianor O. Alves, Olimpio H. Miyagaki

arxiv:1610.05249 v1 · 2016-10-17 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PMXCCLZ4PJLIZSBZ7YR67IRMF}

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	2026-05-18T00:35:35.453508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd9710979e3d2b46641cff11f7d1161493ed06385a5ebdc2c9904543b8a588d

Aliases

arxiv: 1610.05249 · arxiv_version: 1610.05249v1 · doi: 10.48550/arxiv.1610.05249 · pith_short_12: 5PMXCCLZ4PJL · pith_short_16: 5PMXCCLZ4PJLIZSB · pith_short_8: 5PMXCCLZ

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/5PMXCCLZ4PJLIZSBZ7YR67IRMF \
  | 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: ebd9710979e3d2b46641cff11f7d1161493ed06385a5ebdc2c9904543b8a588d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b4eb15b6fc5df55882f32899cdf059c4267af76f357d3f265c48153b5f3fc74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-17T18:27:26Z",
    "title_canon_sha256": "c9dccfccc7f43bb9e5e8b03f527178ef5c07dfe2c5a4ee2b1113208f9066847b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05249",
    "kind": "arxiv",
    "version": 1
  }
}