Pith Number

pith:HO6C2FSJ

pith:2024:HO6C2FSJNH5H5Q4CU5WEJTG5ZI

not attested not anchored not stored refs pending

On the B\"acklund transform and the stability of the line soliton of the KP-II equation on $\mathbb R^2$

Lorenzo Pompili

arxiv:2412.12530 v1 · 2024-12-17 · 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{HO6C2FSJNH5H5Q4CU5WEJTG5ZI}

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	2026-07-05T09:50:16.500031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bbc2d164969fa7ec382a76c44ccddca0e861d0c73ea2a3a5617c2a8a5faa6fc

Aliases

arxiv: 2412.12530 · arxiv_version: 2412.12530v1 · doi: 10.48550/arxiv.2412.12530 · pith_short_12: HO6C2FSJNH5H · pith_short_16: HO6C2FSJNH5H5Q4C · pith_short_8: HO6C2FSJ

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/HO6C2FSJNH5H5Q4CU5WEJTG5ZI \
  | 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: 3bbc2d164969fa7ec382a76c44ccddca0e861d0c73ea2a3a5617c2a8a5faa6fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76553f26834a2501cc6067d2852889bb66cac8d6494aa162ebb27d06ef52391b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-17T04:40:56Z",
    "title_canon_sha256": "d4bebb3f5242d0cde7f7fe16bb10cee6aa6353201a5f88abe34867a7a65e83dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12530",
    "kind": "arxiv",
    "version": 1
  }
}