Pith Number

pith:BLIPY4Q7

pith:2021:BLIPY4Q7W4C2GSPJHPXF6JAAE3

not attested not anchored not stored refs pending

Stochastic Generalized Porous Media Equations over $\sigma$-finite Measure Spaces with Non-Continuous Diffusivity Function

Michael R\"ockner, Weina Wu, Yingchao Xie

arxiv:2107.09878 v3 · 2021-07-21 · 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{BLIPY4Q7W4C2GSPJHPXF6JAAE3}

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	2026-07-05T06:42:54.986995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ad0fc721fb705a349e93bee5f240026f6087af3b5f48692c8498813701b183e

Aliases

arxiv: 2107.09878 · arxiv_version: 2107.09878v3 · doi: 10.48550/arxiv.2107.09878 · pith_short_12: BLIPY4Q7W4C2 · pith_short_16: BLIPY4Q7W4C2GSPJ · pith_short_8: BLIPY4Q7

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/BLIPY4Q7W4C2GSPJHPXF6JAAE3 \
  | 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: 0ad0fc721fb705a349e93bee5f240026f6087af3b5f48692c8498813701b183e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08d052b0ff73d5430ff5aa02772a771f5a262edf9783e6d8b24a8bf733e8d260",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-07-21T04:59:33Z",
    "title_canon_sha256": "b74656c938fff38629d0bc5a7bfea4e6dcdbf6dd668ec82562500d51c5c4edf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.09878",
    "kind": "arxiv",
    "version": 3
  }
}