Pith Number

pith:7DBZKJG6

pith:2017:7DBZKJG6JPQPZR7R6KYKL4SEJT

not attested not anchored not stored refs pending

Martingale solutions for the stochastic nonlinear Schr\"odinger equation in the energy space

Fabian Hornung, Lutz Weis, Zdzislaw Brzezniak

arxiv:1707.05610 v2 · 2017-07-18 · math.PR · 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{7DBZKJG6JPQPZR7R6KYKL4SEJT}

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	2026-05-18T00:03:19.595248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8c39524de4be0fcc7f1f2b0a5f2444cd7b813a2c1b5ec33f44be00b9204eb10

Aliases

arxiv: 1707.05610 · arxiv_version: 1707.05610v2 · doi: 10.48550/arxiv.1707.05610 · pith_short_12: 7DBZKJG6JPQP · pith_short_16: 7DBZKJG6JPQPZR7R · pith_short_8: 7DBZKJG6

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/7DBZKJG6JPQPZR7R6KYKL4SEJT \
  | 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: f8c39524de4be0fcc7f1f2b0a5f2444cd7b813a2c1b5ec33f44be00b9204eb10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b16889b21ac5cb5b18cbacc376ab822385931c6627533c5421713c100a100d5",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-18T13:50:56Z",
    "title_canon_sha256": "153b27d1256beda50568b247ff03100b28fb91a4685250cc52777a92a31060fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05610",
    "kind": "arxiv",
    "version": 2
  }
}