pith. sign in
Pith Number

pith:3P7HHUXI

pith:2013:3P7HHUXIU2RGAVRHFBPBPDMJ6F
not attested not anchored not stored refs pending

Akhmediev breathers, Ma solitons and general breathers from rogue waves: A case study in Manakov system

M. Lakshmanan, M. Senthilvelan, N. Vishnu Priya

arxiv:1308.5565 v1 · 2013-08-26 · nlin.PS · math-ph · math.MP · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3P7HHUXIU2RGAVRHFBPBPDMJ6F}

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 2026-05-18T01:47:58.551200Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

dbfe73d2e8a6a2605627285e178d89f160fafc3a0c2f15cbcffd747888621ca7

Aliases

arxiv: 1308.5565 · arxiv_version: 1308.5565v1 · doi: 10.48550/arxiv.1308.5565 · pith_short_12: 3P7HHUXIU2RG · pith_short_16: 3P7HHUXIU2RGAVRH · pith_short_8: 3P7HHUXI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3P7HHUXIU2RGAVRHFBPBPDMJ6F \
  | 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: dbfe73d2e8a6a2605627285e178d89f160fafc3a0c2f15cbcffd747888621ca7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "638268e9f5e3f479b27a4e7f74e9183bd4c66fb9b2c1ebec05cdfbc21f909265",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2013-08-26T12:51:14Z",
    "title_canon_sha256": "3ce32972b0192b046b2e90a7c5de92cc42d68cc034123462821f3d243fc88a09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5565",
    "kind": "arxiv",
    "version": 1
  }
}