Pith Number

pith:ERYJD3DE

pith:2026:ERYJD3DEJC47D2VJSL6K2EBEFD

not attested not anchored not stored refs pending

Almost Lipschitz regularity for solutions of elliptic equations with discontinuous coefficients

Antonio Giuseppe Grimaldi, Raffaella Giova, Stefania Russo

arxiv:2606.26642 v1 · 2026-06-25 · 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{ERYJD3DEJC47D2VJSL6K2EBEFD}

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	2026-06-26T01:15:36.966437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

247091ec6448b9f1eaa992fcad102428d14c0b4dabd0203384386eb0b1623718

Aliases

arxiv: 2606.26642 · arxiv_version: 2606.26642v1 · doi: 10.48550/arxiv.2606.26642 · pith_short_12: ERYJD3DEJC47 · pith_short_16: ERYJD3DEJC47D2VJ · pith_short_8: ERYJD3DE

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/ERYJD3DEJC47D2VJSL6K2EBEFD \
  | 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: 247091ec6448b9f1eaa992fcad102428d14c0b4dabd0203384386eb0b1623718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "586ac13e068dabfddb003369ea4bde808c3272123395634391908e58243c8888",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-25T06:08:40Z",
    "title_canon_sha256": "c47f3f0ac48cebe73bb56b7576c722c77206673b52afd1897ee23e15530abc24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26642",
    "kind": "arxiv",
    "version": 1
  }
}