Pith Number

pith:2HJC6VHL

pith:2021:2HJC6VHLWZOKK7IGX4H2Y23W4F

not attested not anchored not stored refs pending

The regularity problem for degenerate elliptic operators in weighted spaces

Cruz Prisuelos-Arribas, Jos\'e Mar\'ia Martell, Li Chen, Pascal Auscher

arxiv:2106.14422 v1 · 2021-06-28 · math.CA · 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{2HJC6VHLWZOKK7IGX4H2Y23W4F}

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	2026-07-05T02:52:50.724199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1d22f54ebb65ca57d06bf0fac6b76e162d18287f8e29df45b6a892949f96aa2

Aliases

arxiv: 2106.14422 · arxiv_version: 2106.14422v1 · doi: 10.48550/arxiv.2106.14422 · pith_short_12: 2HJC6VHLWZOK · pith_short_16: 2HJC6VHLWZOKK7IG · pith_short_8: 2HJC6VHL

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/2HJC6VHLWZOKK7IGX4H2Y23W4F \
  | 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: d1d22f54ebb65ca57d06bf0fac6b76e162d18287f8e29df45b6a892949f96aa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eaecd56c9dd5dacba1741ccd971e4b9abb6be445a9379c840339ba948238822",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-06-28T07:01:45Z",
    "title_canon_sha256": "7a722b1fbd202904a0aef53a8b7e773b2d0fa7fcc0f247b147d45f2ea07a4dd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.14422",
    "kind": "arxiv",
    "version": 1
  }
}