Pith Number

pith:GPQJJQUL

pith:2019:GPQJJQULSR4KLKYPLL5GGFB3HE

not attested not anchored not stored refs pending

Fractional stochastic wave equation driven by a Gaussian noise rough in space

Fangjun Xu, Jian Song, Xiaoming Song

arxiv:1904.09905 v1 · 2019-04-22 · 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{GPQJJQULSR4KLKYPLL5GGFB3HE}

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	2026-05-17T23:48:02.901557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33e094c28b9478a5ab0f5afa63143b39257f051ac581f2c2ae8fd46e9ba73a61

Aliases

arxiv: 1904.09905 · arxiv_version: 1904.09905v1 · doi: 10.48550/arxiv.1904.09905 · pith_short_12: GPQJJQULSR4K · pith_short_16: GPQJJQULSR4KLKYP · pith_short_8: GPQJJQUL

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/GPQJJQULSR4KLKYPLL5GGFB3HE \
  | 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: 33e094c28b9478a5ab0f5afa63143b39257f051ac581f2c2ae8fd46e9ba73a61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a002321c0bc66193c01220b4b2fa7dbdf32618fbaeb5a15892bfd10453bcdac7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-04-22T14:41:19Z",
    "title_canon_sha256": "ca7b2b79cc69a3e5cc1a6348dd31e4eeb3b750d58f0db09142585f8f0d283478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09905",
    "kind": "arxiv",
    "version": 1
  }
}