Pith Number

pith:RYPOWCAF

pith:2018:RYPOWCAFR45ZMKIBNCVVGAMZFT

not attested not anchored not stored refs pending

Uniqueness of martingale solutions for the stochastic nonlinear Schr\"odinger equation on 3d compact manifolds

Fabian Hornung, Lutz Weis, Zdzislaw Brzezniak

arxiv:1808.10619 v1 · 2018-08-31 · math.AP · math.PR

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\usepackage{pith}
\pithnumber{RYPOWCAFR45ZMKIBNCVVGAMZFT}

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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

The stochastic nonlinear Schr\"odinger equation in unbounded domains and manifolds

Receipt and verification

First computed	2026-05-18T00:06:45.220024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e1eeb08058f3b96290168ab5301992ce23e4d3e97ae12367574b3b5f44fa5fb

Aliases

arxiv: 1808.10619 · arxiv_version: 1808.10619v1 · doi: 10.48550/arxiv.1808.10619 · pith_short_12: RYPOWCAFR45Z · pith_short_16: RYPOWCAFR45ZMKIB · pith_short_8: RYPOWCAF

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/RYPOWCAFR45ZMKIBNCVVGAMZFT \
  | 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: 8e1eeb08058f3b96290168ab5301992ce23e4d3e97ae12367574b3b5f44fa5fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f0d8a2ad26d37e3ba33b967d7d82f97b220b6b83f8544ce42b6d67ef13c788a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-31T07:51:47Z",
    "title_canon_sha256": "9adac5761aa6d64db269811dc9121a3f7a9986cdeefe5a17c9e4f683187c1806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10619",
    "kind": "arxiv",
    "version": 1
  }
}