Pith Number

pith:V7VAYTKP

pith:2023:V7VAYTKP6ZC5WDKN5X653Q2WLY

not attested not anchored not stored refs pending

An extrapolation result in the variational setting: improved regularity, compactness, and applications to quasilinear systems

Mark Veraar, Sebastian Bechtel

arxiv:2311.01271 v2 · 2023-11-02 · math.PR · math.AP · math.CA · 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{V7VAYTKP6ZC5WDKN5X653Q2WLY}

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.

Cited by

1 paper in Pith

The Yamada-Watanabe-Engelbert theorem for SPDEs in Banach spaces

Receipt and verification

First computed	2026-07-05T11:31:23.926708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afea0c4d4ff645db0d4dedfdddc3565e24e35d281cf9c2f983359cf44201ed6a

Aliases

arxiv: 2311.01271 · arxiv_version: 2311.01271v2 · doi: 10.48550/arxiv.2311.01271 · pith_short_12: V7VAYTKP6ZC5 · pith_short_16: V7VAYTKP6ZC5WDKN · pith_short_8: V7VAYTKP

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/V7VAYTKP6ZC5WDKN5X653Q2WLY \
  | 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: afea0c4d4ff645db0d4dedfdddc3565e24e35d281cf9c2f983359cf44201ed6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aee5ca63683696a326d2bed83a9c042e3eafc93c0befa78a0df97f8669926406",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-11-02T14:34:26Z",
    "title_canon_sha256": "95e0ca48004f789d619d4d70cb2803a77e30ed932c7d3428609cd7e3835a76b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.01271",
    "kind": "arxiv",
    "version": 2
  }
}