Pith Number

pith:VVOPOA5X

pith:2017:VVOPOA5XLTRAGVIX5C4NBESNK5

not attested not anchored not stored refs pending

Higher Integrability for Constrained Minimizers of Integral Functionals with (p,q)-Growth in low dimension

Cristiana De Filippis

arxiv:1712.03252 v2 · 2017-12-08 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVOPOA5XLTRAGVIX5C4NBESNK5}

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	2026-05-18T00:10:22.242647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad5cf703b75ce2035517e8b8d0924d575285f1a31b584d82fcc2abd95c0632f4

Aliases

arxiv: 1712.03252 · arxiv_version: 1712.03252v2 · doi: 10.48550/arxiv.1712.03252 · pith_short_12: VVOPOA5XLTRA · pith_short_16: VVOPOA5XLTRAGVIX · pith_short_8: VVOPOA5X

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/VVOPOA5XLTRAGVIX5C4NBESNK5 \
  | 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: ad5cf703b75ce2035517e8b8d0924d575285f1a31b584d82fcc2abd95c0632f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07f1ca7abe5aee5228979e8f169c54408648d98c2611ed52bdd203bcb6f062b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-08T19:10:13Z",
    "title_canon_sha256": "9a89e807eb2d96b6f10814061c73abdbd3479a3011dd31b7f6bdcd519987463f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03252",
    "kind": "arxiv",
    "version": 2
  }
}