Pith Number

pith:E3OL7Y6M

pith:2018:E3OL7Y6MGV4Q2THYQQ4ZSLZRXV

not attested not anchored not stored refs pending

Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation

Alberto Maspero, Emanuele Haus, Marcel Guardia, Michela Procesi, Zaher Hani

arxiv:1810.03694 v1 · 2018-10-08 · math.AP · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3OL7Y6MGV4Q2THYQQ4ZSLZRXV}

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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	2026-05-18T00:03:44.738231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26dcbfe3cc35790d4cf88439992f31bd73baa654c614209804d8bb9f02f4f78e

Aliases

arxiv: 1810.03694 · arxiv_version: 1810.03694v1 · doi: 10.48550/arxiv.1810.03694 · pith_short_12: E3OL7Y6MGV4Q · pith_short_16: E3OL7Y6MGV4Q2THY · pith_short_8: E3OL7Y6M

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/E3OL7Y6MGV4Q2THYQQ4ZSLZRXV \
  | 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: 26dcbfe3cc35790d4cf88439992f31bd73baa654c614209804d8bb9f02f4f78e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6665464035105eb9a3f96a4c58a51a3048ebead03d99e998fb5f1357d0b99ae7",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-08T20:53:40Z",
    "title_canon_sha256": "86550c72c420b3cdfac63d7e13063cb8fb5957817ff13cf5fc2d5f01bca12aa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03694",
    "kind": "arxiv",
    "version": 1
  }
}