Pith Number

pith:NEZ4RRUT

pith:2017:NEZ4RRUTUFYOBTYRT2NW3KELKE

not attested not anchored not stored refs pending

Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus

Leonardo Tolomeo, Philippe Sosoe, Tadahiro Oh

arxiv:1709.02045 v4 · 2017-09-07 · math.PR · math-ph · math.AP · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NEZ4RRUTUFYOBTYRT2NW3KELKE}

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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 parabolic and hyperbolic Liouville equations

Receipt and verification

First computed	2026-07-05T03:30:03.838926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6933c8c693a170e0cf119e9b6da88b5101d6f00ba3e996ca0cc2061c85f69f73

Aliases

arxiv: 1709.02045 · arxiv_version: 1709.02045v4 · doi: 10.48550/arxiv.1709.02045 · pith_short_12: NEZ4RRUTUFYO · pith_short_16: NEZ4RRUTUFYOBTYR · pith_short_8: NEZ4RRUT

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/NEZ4RRUTUFYOBTYRT2NW3KELKE \
  | 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: 6933c8c693a170e0cf119e9b6da88b5101d6f00ba3e996ca0cc2061c85f69f73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "291caefe4832f61cf677ca6e185ae9cb4234e47a525ca6bacd9468111612be6d",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-07T01:58:22Z",
    "title_canon_sha256": "0c5d1399a77347d3825e525815ea30f56eefbee10fb1a0130face521a9e739c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02045",
    "kind": "arxiv",
    "version": 4
  }
}