Pith Number

pith:GYHUZILO

pith:2020:GYHUZILOXXVM4P6NFSC4ZKYP3V

not attested not anchored not stored refs pending

Integration by parts for nonsymmetric fractional-order operators on a halfspace

Gerd Grubb

arxiv:2012.13964 v4 · 2020-12-27 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYHUZILOXXVM4P6NFSC4ZKYP3V}

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	2026-07-05T02:37:43.882874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

360f4ca16ebdeace3fcd2c85ccab0fdd5c1bc2fa9b632fa96d494c56d6b86533

Aliases

arxiv: 2012.13964 · arxiv_version: 2012.13964v4 · doi: 10.48550/arxiv.2012.13964 · pith_short_12: GYHUZILOXXVM · pith_short_16: GYHUZILOXXVM4P6N · pith_short_8: GYHUZILO

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/GYHUZILOXXVM4P6NFSC4ZKYP3V \
  | 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: 360f4ca16ebdeace3fcd2c85ccab0fdd5c1bc2fa9b632fa96d494c56d6b86533

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6942969925ed400c0fa3722150c27415b48aca5d3cd563b577cf90be2bbd1567",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-12-27T15:35:52Z",
    "title_canon_sha256": "533b26657181aea1873f4f1936f9db2c8f26a28f9ada48510f188179755f9242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.13964",
    "kind": "arxiv",
    "version": 4
  }
}