Pith Number

pith:442PW25U

pith:2024:442PW25UN52L22ABEC5RREOXPT

not attested not anchored not stored refs pending

Harnack estimates for nonlocal drift-diffusion equations

Naian Liao

arxiv:2402.11986 v2 · 2024-02-19 · 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{442PW25UN52L22ABEC5RREOXPT}

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.

Cited by

1 paper in Pith

Nonlocal parabolic De Giorgi classes

Receipt and verification

First computed	2026-07-05T09:59:44.139730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e734fb6bb46f74bd680120bb1891d77cc54d52afe1aa5a2427c4c38cabdabaf2

Aliases

arxiv: 2402.11986 · arxiv_version: 2402.11986v2 · doi: 10.48550/arxiv.2402.11986 · pith_short_12: 442PW25UN52L · pith_short_16: 442PW25UN52L22AB · pith_short_8: 442PW25U

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/442PW25UN52L22ABEC5RREOXPT \
  | 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: e734fb6bb46f74bd680120bb1891d77cc54d52afe1aa5a2427c4c38cabdabaf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fbf0d7ccb06921fc367c7451c9893c5e231e0be8a2d4397f7f62dd657df5cb8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-02-19T09:30:29Z",
    "title_canon_sha256": "741a6ebf7d47e46b7502d97c3c60a0e20cf6a256214a97ebc61188592c316545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.11986",
    "kind": "arxiv",
    "version": 2
  }
}