Pith Number

pith:FMKQJEJG

pith:2012:FMKQJEJG7CYFJGL3P5SCQXYVYX

not attested not anchored not stored refs pending

The square root problem for second order, divergence form operators with mixed boundary conditions on $L^p$

Joachim Rehberg (WIAS), Nadine Badr (ICJ), Pascal Auscher (LM-Orsay), Robert Haller-Dintelmann

arxiv:1210.0780 v3 · 2012-10-02 · math.CA · 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{FMKQJEJG7CYFJGL3P5SCQXYVYX}

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	2026-05-18T02:51:24.123041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b15049126f8b054997b7f64285f15c5dcb6739bde53ad671437ace3af852f33

Aliases

arxiv: 1210.0780 · arxiv_version: 1210.0780v3 · doi: 10.48550/arxiv.1210.0780 · pith_short_12: FMKQJEJG7CYF · pith_short_16: FMKQJEJG7CYFJGL3 · pith_short_8: FMKQJEJG

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/FMKQJEJG7CYFJGL3P5SCQXYVYX \
  | 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: 2b15049126f8b054997b7f64285f15c5dcb6739bde53ad671437ace3af852f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0684498de2800167bab564656af5405c5979a3ebc8ca8abd87377084ae124be8",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-10-02T14:11:35Z",
    "title_canon_sha256": "356ed5e429135dc7fd7d78863f8bc977b0e0c638a5122a144c9d123c5624882c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0780",
    "kind": "arxiv",
    "version": 3
  }
}