Pith Number

pith:6CILK55C

pith:2022:6CILK55CD3V7CKLF7XKFJX2QY4

not attested not anchored not stored refs pending

Output Feedback Control of Radially-Dependent Reaction-Diffusion PDEs on Balls of Arbitrary Dimensions

Jie Qi, Jing Zhang, Miroslav Krstic, Rafael Vazquez

arxiv:2207.09757 v1 · 2022-07-20 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6CILK55CD3V7CKLF7XKFJX2QY4}

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	2026-07-05T04:42:01.526458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f090b577a21eebf12965fdd454df50c71a471250d841f94f743b4dabff0c1707

Aliases

arxiv: 2207.09757 · arxiv_version: 2207.09757v1 · doi: 10.48550/arxiv.2207.09757 · pith_short_12: 6CILK55CD3V7 · pith_short_16: 6CILK55CD3V7CKLF · pith_short_8: 6CILK55C

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/6CILK55CD3V7CKLF7XKFJX2QY4 \
  | 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: f090b577a21eebf12965fdd454df50c71a471250d841f94f743b4dabff0c1707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02ed8b28432d003d119ec8ee56b43726c643540cb0cd8e27ba2eb98cad402a1b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-07-20T09:00:36Z",
    "title_canon_sha256": "43580064e215c6484bb4782b9eb6058221097a1b3a098cc6567389797a58121e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.09757",
    "kind": "arxiv",
    "version": 1
  }
}