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Pith Number

pith:F4XKDXRV

pith:2015:F4XKDXRVRWM6B2EFFFJDX4K5KC
not attested not anchored not stored refs pending

Universal nature of the nonlinear stage of modulational instability

Dionyssis Mantzavinos, Gino Biondini

arxiv:1511.00951 v1 · 2015-11-03 · nlin.PS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F4XKDXRVRWM6B2EFFFJDX4K5KC}

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 2026-05-18T01:21:30.245295Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2f2ea1de358d99e0e88529523bf15d508c1dc8abddd871cf422e00136574315d

Aliases

arxiv: 1511.00951 · arxiv_version: 1511.00951v1 · doi: 10.48550/arxiv.1511.00951 · pith_short_12: F4XKDXRVRWM6 · pith_short_16: F4XKDXRVRWM6B2EF · pith_short_8: F4XKDXRV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F4XKDXRVRWM6B2EFFFJDX4K5KC \
  | 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: 2f2ea1de358d99e0e88529523bf15d508c1dc8abddd871cf422e00136574315d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6977bfd1923dbffffacbdfd08fb85a24f3ca93d58214c5e72719152901b77929",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2015-11-03T15:44:40Z",
    "title_canon_sha256": "36e3e9b3a305d579854820838b3a396af9ad00f5a1cd4d83c377511b4c7a43e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00951",
    "kind": "arxiv",
    "version": 1
  }
}