Pith Number

pith:M5NPSB7Z

pith:2022:M5NPSB7ZKAZHGUZXB2D57HDDJB

not attested not anchored not stored refs pending

Harnack's estimate for a mixed local-nonlocal doubly nonlinear parabolic equation

Kenta Nakamura

arxiv:2209.00847 v1 · 2022-09-02 · 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{M5NPSB7ZKAZHGUZXB2D57HDDJB}

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	2026-07-05T04:54:05.741400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

675af907f950327353370e87df9c63485758ae5dc93e6f1e7183836e9b55139d

Aliases

arxiv: 2209.00847 · arxiv_version: 2209.00847v1 · doi: 10.48550/arxiv.2209.00847 · pith_short_12: M5NPSB7ZKAZH · pith_short_16: M5NPSB7ZKAZHGUZX · pith_short_8: M5NPSB7Z

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/M5NPSB7ZKAZHGUZXB2D57HDDJB \
  | 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: 675af907f950327353370e87df9c63485758ae5dc93e6f1e7183836e9b55139d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6af3625b3fb63c17f60f37f0b6ffc3e9eabf0553c3a1fb5e8124934fa9a1960f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-09-02T07:08:20Z",
    "title_canon_sha256": "59215638e6d01983ed9345505cb8d5b402ab4a9dc4b526afc2ea48480393767c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.00847",
    "kind": "arxiv",
    "version": 1
  }
}