Pith Number

pith:QQ4ODW5G

pith:2016:QQ4ODW5G7OFUPD6FOFOXPD3VJZ

not attested not anchored not stored refs pending

Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods

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

arxiv:1602.08315 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{QQ4ODW5G7OFUPD6FOFOXPD3VJZ}

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	2026-05-18T01:12:16.760379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8438e1dba6fb8b478fc5715d778f754e6091467ea3c6931124925c03a37e5c0c

Aliases

arxiv: 1602.08315 · arxiv_version: 1602.08315v2 · doi: 10.48550/arxiv.1602.08315 · pith_short_12: QQ4ODW5G7OFU · pith_short_16: QQ4ODW5G7OFUPD6F · pith_short_8: QQ4ODW5G

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/QQ4ODW5G7OFUPD6FOFOXPD3VJZ \
  | 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: 8438e1dba6fb8b478fc5715d778f754e6091467ea3c6931124925c03a37e5c0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa5fb6a8e221d645b01b48a04ccaa9690ceb454b1f29fe08f96ecf03b47b2052",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-26T13:27:24Z",
    "title_canon_sha256": "5fd408f6b0c7711f370b4bde1d6dc7c724dfa634c83fa7221af6c2aaef066ee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08315",
    "kind": "arxiv",
    "version": 2
  }
}