pith. sign in
Pith Number

pith:YSJH5JMX

pith:2013:YSJH5JMXBVNDNOTIVNYYCP67VU
not attested not anchored not stored refs pending

Vakhitov-Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields

Alim Sukhtayev, Andrew Comech, Gregory Berkolaiko

arxiv:1306.5150 v4 · 2013-06-21 · math-ph · math.AP · math.MP · nlin.PS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YSJH5JMXBVNDNOTIVNYYCP67VU}

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 2026-05-18T02:38:59.557423Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c4927ea5970d5a36ba68ab71813fdfad2a0f41a348d7abb0a19628793c4e937f

Aliases

arxiv: 1306.5150 · arxiv_version: 1306.5150v4 · doi: 10.48550/arxiv.1306.5150 · pith_short_12: YSJH5JMXBVND · pith_short_16: YSJH5JMXBVNDNOTI · pith_short_8: YSJH5JMX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YSJH5JMXBVNDNOTIVNYYCP67VU \
  | 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: c4927ea5970d5a36ba68ab71813fdfad2a0f41a348d7abb0a19628793c4e937f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "78a6a3c619e5884d6d73c8314d173ac9ad35a7a49d370181c8dae8eb1b5956ff",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-21T14:27:29Z",
    "title_canon_sha256": "c4b54e02c441166fab9817e7a92e28b235ef5f483e93ae6b6a31c7b34812c27e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5150",
    "kind": "arxiv",
    "version": 4
  }
}