Pith Number

pith:W63J2HSK

pith:2023:W63J2HSKQJKPOT376RCXCXT5IV

not attested not anchored not stored refs pending

Dynamics of quintic nonlinear Schr{\"o}dinger equations in $H^{2/5+}(\mathbb{T})$

Beno\^it Gr\'ebert (LMJL), CNRS), Joackim Bernier (LMJL, Tristan Robert (IECL)

arxiv:2305.05236 v3 · 2023-05-09 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W63J2HSKQJKPOT376RCXCXT5IV}

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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

Infinite dimensional invariant tori for nonlinear Schr\"odinger equations

Receipt and verification

First computed	2026-07-05T09:49:58.795873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7b69d1e4a8254f74f7ff445715e7d4575d952ea0d2a70723ba27edcd0c0d65b

Aliases

arxiv: 2305.05236 · arxiv_version: 2305.05236v3 · doi: 10.48550/arxiv.2305.05236 · pith_short_12: W63J2HSKQJKP · pith_short_16: W63J2HSKQJKPOT37 · pith_short_8: W63J2HSK

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/W63J2HSKQJKPOT376RCXCXT5IV \
  | 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: b7b69d1e4a8254f74f7ff445715e7d4575d952ea0d2a70723ba27edcd0c0d65b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "277c87fd2ac25d3447ef8ab6f0d6ebd5bd6249788812e21a1ceee2b0842503a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-05-09T07:55:19Z",
    "title_canon_sha256": "37caf0bcce81a254f85edb260ccd3a034126255663b503fbb2af85e18e5cacf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.05236",
    "kind": "arxiv",
    "version": 3
  }
}