Pith Number

pith:BFBBLQF5

pith:2016:BFBBLQF5E4TTVUTCCYIDDT5MJL

not attested not anchored not stored refs pending

Paracontrolled calculus and Funaki-Quastel approximation for the KPZ equation

Masato Hoshino

arxiv:1605.02624 v3 · 2016-05-09 · 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{BFBBLQF5E4TTVUTCCYIDDT5MJL}

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	2026-05-18T00:50:01.321076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

094215c0bd27273ad262161031cfac4ac6c5b7496c4ad64ac95d9bdf585d4ae6

Aliases

arxiv: 1605.02624 · arxiv_version: 1605.02624v3 · doi: 10.48550/arxiv.1605.02624 · pith_short_12: BFBBLQF5E4TT · pith_short_16: BFBBLQF5E4TTVUTC · pith_short_8: BFBBLQF5

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/BFBBLQF5E4TTVUTCCYIDDT5MJL \
  | 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: 094215c0bd27273ad262161031cfac4ac6c5b7496c4ad64ac95d9bdf585d4ae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85606007d7734f2e9b1bfde7bd9de7807827159b59126825a0aa00a8f6e18995",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-09T15:27:26Z",
    "title_canon_sha256": "79ccc7357957ac91f2ef26adb50f0ee116d3db69fb3e9eb9006562b1e731e948"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02624",
    "kind": "arxiv",
    "version": 3
  }
}