Pith Number

pith:VYHFY5ZL

pith:2018:VYHFY5ZLTCWYMPE2YRP54HH2P5

not attested not anchored not stored refs pending

Weighted ultrafast diffusion equations: from well-posedness to long-time behaviour

Filippo Santambrogio (LMO), Francesco Patacchini (CMU), Mikaela Iacobelli

arxiv:1808.07743 v2 · 2018-08-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYHFY5ZLTCWYMPE2YRP54HH2P5}

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	2026-05-17T23:55:11.983937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae0e5c772b98ad863c9ac45fde1cfa7f4d3d258996c5094e9def2203c1b6aacc

Aliases

arxiv: 1808.07743 · arxiv_version: 1808.07743v2 · doi: 10.48550/arxiv.1808.07743 · pith_short_12: VYHFY5ZLTCWY · pith_short_16: VYHFY5ZLTCWYMPE2 · pith_short_8: VYHFY5ZL

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/VYHFY5ZLTCWYMPE2YRP54HH2P5 \
  | 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: ae0e5c772b98ad863c9ac45fde1cfa7f4d3d258996c5094e9def2203c1b6aacc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69695cd96a68f9f11577efe941e0f04f81a3c2430cbd28ed93a4a5d1c433bd9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-23T13:31:24Z",
    "title_canon_sha256": "863d7d3f1c6830828a2eef3d302866e69e5f11783d7736792348bf4bf4e797bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07743",
    "kind": "arxiv",
    "version": 2
  }
}