Pith Number

pith:ZYKRUTR4

pith:2024:ZYKRUTR4PBAIH2LA2BRNEP5H73

not attested not anchored not stored refs pending

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations

Benoit Gr\'ebert, Joackim Bernier, Tristan Robert

arxiv:2412.11845 v2 · 2024-12-16 · 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{ZYKRUTR4PBAIH2LA2BRNEP5H73}

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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.

Cited by

1 paper in Pith

On the construction of almost periodic solutions for the derivative nonlinear Schr\"odinger equation

Receipt and verification

First computed	2026-07-05T10:13:06.568338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce151a4e3c784083e960d062d23fa7fef6958e5c78ad74c622221092f5171e0e

Aliases

arxiv: 2412.11845 · arxiv_version: 2412.11845v2 · doi: 10.48550/arxiv.2412.11845 · pith_short_12: ZYKRUTR4PBAI · pith_short_16: ZYKRUTR4PBAIH2LA · pith_short_8: ZYKRUTR4

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/ZYKRUTR4PBAIH2LA2BRNEP5H73 \
  | 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: ce151a4e3c784083e960d062d23fa7fef6958e5c78ad74c622221092f5171e0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf7aa4e601dd9ef02e4ea214bebf520bd704a65e96d061fb3c921dc1d0a3753b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-16T15:08:31Z",
    "title_canon_sha256": "17747b2ab241eb635f718a29aaa59931a92e8dd0c95a13cdf8a99c5f9e39e03b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11845",
    "kind": "arxiv",
    "version": 2
  }
}