Pith Number

pith:4MEW5FJ7

pith:2018:4MEW5FJ7G6CLJSTHPD3KPK246H

not attested not anchored not stored refs pending

Harnack inequality for a class of Kolmogorov-Fokker-Planck equations in non-divergence form

Farhan Abedin, Giulio Tralli

arxiv:1801.03961 v2 · 2018-01-11 · 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{4MEW5FJ7G6CLJSTHPD3KPK246H}

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	2026-05-17T23:51:54.790986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3096e953f3784b4ca6778f6a7ab5cf1c25a26b2832b38a327e040362bafc8f9

Aliases

arxiv: 1801.03961 · arxiv_version: 1801.03961v2 · doi: 10.48550/arxiv.1801.03961 · pith_short_12: 4MEW5FJ7G6CL · pith_short_16: 4MEW5FJ7G6CLJSTH · pith_short_8: 4MEW5FJ7

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/4MEW5FJ7G6CLJSTHPD3KPK246H \
  | 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: e3096e953f3784b4ca6778f6a7ab5cf1c25a26b2832b38a327e040362bafc8f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af98cc9c8d0f61c6cb4eb9e016956c05969ddc253073773791dea95a9260ef6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-11T19:32:09Z",
    "title_canon_sha256": "64b47390f4dc4eb6a014717a830571a1a33d6daa7b784c2691144b12f177af87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03961",
    "kind": "arxiv",
    "version": 2
  }
}