Pith Number

pith:WNAN3A2B

pith:2019:WNAN3A2BTUAOOUGJPHWEC7QJD2

not attested not anchored not stored refs pending

Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations

Jos\'e Lu\'is da Silva, Michael R\"ockner, Wei Liu

arxiv:1908.03959 v3 · 2019-08-11 · math.AP · math.FA · 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{WNAN3A2BTUAOOUGJPHWEC7QJD2}

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	2026-07-05T02:16:41.650119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b340dd83419d00e750c979ec417e091e9d5cb992ce0384a27e85c242d28c4f1e

Aliases

arxiv: 1908.03959 · arxiv_version: 1908.03959v3 · doi: 10.48550/arxiv.1908.03959 · pith_short_12: WNAN3A2BTUAO · pith_short_16: WNAN3A2BTUAOOUGJ · pith_short_8: WNAN3A2B

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/WNAN3A2BTUAOOUGJPHWEC7QJD2 \
  | 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: b340dd83419d00e750c979ec417e091e9d5cb992ce0384a27e85c242d28c4f1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a48450e0b90a7445b4b8319d5afdb2fb39076b96309a7dc682e7f2fcd482fbd2",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-11T20:46:17Z",
    "title_canon_sha256": "f47957fd7ff3c4c7c29764ff9edbcd25dc22f0b6168f39a20e6d0d90e5ed93d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03959",
    "kind": "arxiv",
    "version": 3
  }
}