Pith Number

pith:MENARVCM

pith:2021:MENARVCMZJQTU6RUR4NJ7S64JC

not attested not anchored not stored refs pending

Higher integrability for measures satisfying a PDE constraint

Adolfo Arroyo-Rabasa, Anna Skorobogatova, Filip Rindler, Guido De Philippis, Jonas Hirsch

arxiv:2106.03077 v2 · 2021-06-06 · 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{MENARVCMZJQTU6RUR4NJ7S64JC}

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	2026-07-05T06:12:30.120295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

611a08d44cca613a7a348f1a9fcbdc48950683a7e85b0008731b37c9a790572d

Aliases

arxiv: 2106.03077 · arxiv_version: 2106.03077v2 · doi: 10.48550/arxiv.2106.03077 · pith_short_12: MENARVCMZJQT · pith_short_16: MENARVCMZJQTU6RU · pith_short_8: MENARVCM

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/MENARVCMZJQTU6RUR4NJ7S64JC \
  | 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: 611a08d44cca613a7a348f1a9fcbdc48950683a7e85b0008731b37c9a790572d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "653ed897db0dc691032903eca9455cd464b0b86358891dfb6bb457beb59c7a48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-06-06T09:58:35Z",
    "title_canon_sha256": "5bee70c0c245266be40bc223af339c0be3b9b0520c2848c0823f321eaaf2698c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.03077",
    "kind": "arxiv",
    "version": 2
  }
}