Pith Number

pith:URBCXTJ4

pith:2015:URBCXTJ42TT4ZTBXEFNJ667LZA

not attested not anchored not stored refs pending

Asymptotic stability in the energy space for dark solitons of the Landau-Lifshitz equation

Yakine Bahri

arxiv:1512.00441 v1 · 2015-12-01 · 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{URBCXTJ42TT4ZTBXEFNJ667LZA}

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	2026-05-18T01:11:31.974777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4422bcd3cd4e7cccc37215a9f7bebc827440e24be6113a14a5dc3e1b76a3b22

Aliases

arxiv: 1512.00441 · arxiv_version: 1512.00441v1 · doi: 10.48550/arxiv.1512.00441 · pith_short_12: URBCXTJ42TT4 · pith_short_16: URBCXTJ42TT4ZTBX · pith_short_8: URBCXTJ4

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/URBCXTJ42TT4ZTBXEFNJ667LZA \
  | 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: a4422bcd3cd4e7cccc37215a9f7bebc827440e24be6113a14a5dc3e1b76a3b22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4873b9884a92235798e740ae456f6779139557075275c7c09bdcee3b9f28beef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-01T20:52:24Z",
    "title_canon_sha256": "385ac81054b3436e5a9c8fbfbf10c9bba41d722aafb1acdc97d9ff623c27f1aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00441",
    "kind": "arxiv",
    "version": 1
  }
}