Pith Number

pith:MM7PVXKI

pith:2015:MM7PVXKIKYYK6MAMDNLS2FZD2P

not attested not anchored not stored refs pending

A pedestrian approach to the invariant Gibbs measures for the 2-d defocusing nonlinear Schr\"odinger equations

Laurent Thomann, Tadahiro Oh

arxiv:1509.02093 v2 · 2015-09-07 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MM7PVXKIKYYK6MAMDNLS2FZD2P}

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	2026-05-18T00:40:28.931357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

633efadd485630af300c1b572d1723d3c647a5858ba332a0135b0fbed9a742dc

Aliases

arxiv: 1509.02093 · arxiv_version: 1509.02093v2 · doi: 10.48550/arxiv.1509.02093 · pith_short_12: MM7PVXKIKYYK · pith_short_16: MM7PVXKIKYYK6MAM · pith_short_8: MM7PVXKI

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/MM7PVXKIKYYK6MAMDNLS2FZD2P \
  | 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: 633efadd485630af300c1b572d1723d3c647a5858ba332a0135b0fbed9a742dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ecd28174c204653db9d8bb110d1b928b2190df43639a101cfe29e7e2a623f6f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-07T15:51:10Z",
    "title_canon_sha256": "402c617cedbf11f81450f6e78c1f625638c5928cfadc4c5bd58b9f861899132c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02093",
    "kind": "arxiv",
    "version": 2
  }
}