Pith Number

pith:MWRDZ5DA

pith:2019:MWRDZ5DA2E2OHEYQ5MLHTLNQXT

not attested not anchored not stored refs pending

A microscopic derivation of Gibbs measures for nonlinear Schr\"{o}dinger equations with unbounded interaction potentials

Vedran Sohinger

arxiv:1904.08137 v2 · 2019-04-17 · math.AP · math-ph · math.MP · 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{MWRDZ5DA2E2OHEYQ5MLHTLNQXT}

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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

Interacting loop ensembles and Bose gases

Receipt and verification

First computed	2026-05-17T23:43:42.299081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65a23cf460d134e39310eb1679adb0bce5640777c7218035392269863f2bf945

Aliases

arxiv: 1904.08137 · arxiv_version: 1904.08137v2 · doi: 10.48550/arxiv.1904.08137 · pith_short_12: MWRDZ5DA2E2O · pith_short_16: MWRDZ5DA2E2OHEYQ · pith_short_8: MWRDZ5DA

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/MWRDZ5DA2E2OHEYQ5MLHTLNQXT \
  | 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: 65a23cf460d134e39310eb1679adb0bce5640777c7218035392269863f2bf945

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80cb401ef3851828dd52ad8fcdd8cfdcd7a15654b8a92fe02de48868f2fb9793",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-17T08:44:14Z",
    "title_canon_sha256": "5b1ff9a62678d4f624233848a000edf1c2d24c6b0cfa458fa3f66c667325afeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08137",
    "kind": "arxiv",
    "version": 2
  }
}