Pith Number

pith:4KGGE3TX

pith:2026:4KGGE3TX5BSK7EICYL5QPQHI2N

not attested not anchored not stored refs pending

Sobolev stability of the $L^2$-projection on hybrid meshes

Lars Diening, Tabea Tscherpel, Viktoria Lingert

arxiv:2607.02362 v1 · 2026-07-02 · 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{4KGGE3TX5BSK7EICYL5QPQHI2N}

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	2026-07-03T01:17:56.677655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28c626e77e864af9102c2fb07c0e8d37ef4e4e4b564b0e1b2556acb1de0faf0

Aliases

arxiv: 2607.02362 · arxiv_version: 2607.02362v1 · doi: 10.48550/arxiv.2607.02362 · pith_short_12: 4KGGE3TX5BSK · pith_short_16: 4KGGE3TX5BSK7EIC · pith_short_8: 4KGGE3TX

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/4KGGE3TX5BSK7EICYL5QPQHI2N \
  | 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: e28c626e77e864af9102c2fb07c0e8d37ef4e4e4b564b0e1b2556acb1de0faf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "887478540d14745f17f982f08179c9846fc517f9ca311ecb0bec0a952f9437c8",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-02T16:04:20Z",
    "title_canon_sha256": "f2a919c87373435cd30f08022df1615948ebf5df8cb64df8e833366ba079f0ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02362",
    "kind": "arxiv",
    "version": 1
  }
}