Pith Number

pith:ANDHTCGV

pith:2020:ANDHTCGV4DIDGZEEZ36OROMZE4

not attested not anchored not stored refs pending

On the Sobolev and $L^p$-Stability of the $L^2$-projection

Johannes Storn, Lars Diening, Tabea Tscherpel

arxiv:2008.01801 v2 · 2020-08-04 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANDHTCGV4DIDGZEEZ36OROMZE4}

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	2026-07-05T03:41:57.503036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03467988d5e0d0336484cefce8b9992728648a120b4cb30104dc3e5c07c3656b

Aliases

arxiv: 2008.01801 · arxiv_version: 2008.01801v2 · doi: 10.48550/arxiv.2008.01801 · pith_short_12: ANDHTCGV4DID · pith_short_16: ANDHTCGV4DIDGZEE · pith_short_8: ANDHTCGV

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/ANDHTCGV4DIDGZEEZ36OROMZE4 \
  | 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: 03467988d5e0d0336484cefce8b9992728648a120b4cb30104dc3e5c07c3656b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d0f9aceae1c1296fa364a0d7454d4fe03553b7c48aad1e6338c61798dd7e4f7",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-08-04T19:59:13Z",
    "title_canon_sha256": "f998edea68b8c65fc1f9167dd3d8390d1b035646538f020894cc7029588624b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.01801",
    "kind": "arxiv",
    "version": 2
  }
}