Pith Number

pith:WGYESYVX

pith:2018:WGYESYVXQ3LA4CTJACY3EWW5YE

not attested not anchored not stored refs pending

Weak martingale solutions for the stochastic nonlinear Schr\"odinger equation driven by pure jump noise

Fabian Hornung, Utpal Manna, Zdzis{\l}aw Brze\'zniak

arxiv:1809.10013 v1 · 2018-09-26 · 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{WGYESYVXQ3LA4CTJACY3EWW5YE}

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	2026-05-18T00:04:42.912592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1b04962b786d60e0a6900b1b25addc1210fad3410d05fe043cca8e928fa63fc

Aliases

arxiv: 1809.10013 · arxiv_version: 1809.10013v1 · doi: 10.48550/arxiv.1809.10013 · pith_short_12: WGYESYVXQ3LA · pith_short_16: WGYESYVXQ3LA4CTJ · pith_short_8: WGYESYVX

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/WGYESYVXQ3LA4CTJACY3EWW5YE \
  | 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: b1b04962b786d60e0a6900b1b25addc1210fad3410d05fe043cca8e928fa63fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91079c4ffccd650e7d7b55418772da2032a03bf7dd77db49a9761ecc63cf37e1",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-26T14:19:51Z",
    "title_canon_sha256": "ca7e88e37f3cd84b894098973cbc4f9116250dcb37886cb14cc36cb92d1b7459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10013",
    "kind": "arxiv",
    "version": 1
  }
}