Pith Number

pith:LDYXFPE7

pith:2016:LDYXFPE7XNL7W6PRTPE7OCFGCJ

not attested not anchored not stored refs pending

Weighted fast diffusion equations (Part I): Sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities

Bruno Nazaret (SAMM), Jean Dolbeault (CEREMADE), Matteo Bonforte, Matteo Muratori

arxiv:1602.08319 v2 · 2016-02-26 · 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{LDYXFPE7XNL7W6PRTPE7OCFGCJ}

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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	2026-05-18T01:12:16.755304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58f172bc9fbb57fb79f19bc9f708a61261762f20956e496b600d57d830ef4040

Aliases

arxiv: 1602.08319 · arxiv_version: 1602.08319v2 · doi: 10.48550/arxiv.1602.08319 · pith_short_12: LDYXFPE7XNL7 · pith_short_16: LDYXFPE7XNL7W6PR · pith_short_8: LDYXFPE7

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/LDYXFPE7XNL7W6PRTPE7OCFGCJ \
  | 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: 58f172bc9fbb57fb79f19bc9f708a61261762f20956e496b600d57d830ef4040

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7d483baaaae96c12c27a5cba00f732b4b8e41bca4615392bdbe2cc9001dd86f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-26T13:41:23Z",
    "title_canon_sha256": "a2f352b4f2b2df81f52123151edb29204209ef20b815367404b2e37915a3e10e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08319",
    "kind": "arxiv",
    "version": 2
  }
}