Pith Number

pith:544WBN3Y

pith:2019:544WBN3YMC757GZVOLX2SSPBAI

not attested not anchored not stored refs pending

Exact Controllability for a Refined Stochastic Wave Equation

Qi L\"u, Xu Zhang

arxiv:1901.06074 v1 · 2019-01-18 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{544WBN3YMC757GZVOLX2SSPBAI}

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	2026-05-17T23:56:04.659014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef3960b77860bfdf9b3572efa949e10223e8e5185f74d1d2aebdb565cd097a6d

Aliases

arxiv: 1901.06074 · arxiv_version: 1901.06074v1 · doi: 10.48550/arxiv.1901.06074 · pith_short_12: 544WBN3YMC75 · pith_short_16: 544WBN3YMC757GZV · pith_short_8: 544WBN3Y

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/544WBN3YMC757GZVOLX2SSPBAI \
  | 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: ef3960b77860bfdf9b3572efa949e10223e8e5185f74d1d2aebdb565cd097a6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62ce4148e7f43a7bce7bdf429dc69d33b11895a795544d9c7b09133061f670fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-01-18T03:32:23Z",
    "title_canon_sha256": "fe1cd2257d7e46a571c8509c98f447f2fbdb27961c067a567537476588b5edb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06074",
    "kind": "arxiv",
    "version": 1
  }
}