Pith Number

pith:TDLLQCS6

pith:2020:TDLLQCS6NI4KL2Y2QUDZUZIAGF

not attested not anchored not stored refs pending

Fractional-Order Operators on Nonsmooth Domains

Gerd Grubb, Helmut Abels

arxiv:2004.10134 v4 · 2020-04-21 · 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{TDLLQCS6NI4KL2Y2QUDZUZIAGF}

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	2026-07-05T06:00:53.834303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98d6b80a5e6a38a5eb1a85079a6500315d3300fe306eb4f5ed90654186ac49ec

Aliases

arxiv: 2004.10134 · arxiv_version: 2004.10134v4 · doi: 10.48550/arxiv.2004.10134 · pith_short_12: TDLLQCS6NI4K · pith_short_16: TDLLQCS6NI4KL2Y2 · pith_short_8: TDLLQCS6

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/TDLLQCS6NI4KL2Y2QUDZUZIAGF \
  | 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: 98d6b80a5e6a38a5eb1a85079a6500315d3300fe306eb4f5ed90654186ac49ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddbf366fa0d04ad56b2bdbff9a5771490fe327e8be544bdfbfd4e656078db7b9",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-04-21T16:26:34Z",
    "title_canon_sha256": "19a53a7e2c05790c6f65d1d3544f130377231bdef1482602a1bb2538a499f932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.10134",
    "kind": "arxiv",
    "version": 4
  }
}