Pith Number

pith:N22I5NR6

pith:2026:N22I5NR6AQOUGGP6H5BJT4J7IB

not attested not anchored not stored refs pending

Gradient continuity for $p$-Laplacian obstacle problems under mean oscillation conditions

Jihoon Ok, Sungjin Lee

arxiv:2607.07018 v1 · 2026-07-08 · 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{N22I5NR6AQOUGGP6H5BJT4J7IB}

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	2026-07-09T01:20:12.574236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6eb48eb63e041d4319fe3f4299f13f407cf472a26cb1f09a6929c2459c0e9105

Aliases

arxiv: 2607.07018 · arxiv_version: 2607.07018v1 · doi: 10.48550/arxiv.2607.07018 · pith_short_12: N22I5NR6AQOU · pith_short_16: N22I5NR6AQOUGGP6 · pith_short_8: N22I5NR6

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/N22I5NR6AQOUGGP6H5BJT4J7IB \
  | 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: 6eb48eb63e041d4319fe3f4299f13f407cf472a26cb1f09a6929c2459c0e9105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3848a41886347d5c23e5f7c4af747d8df49a26e0f1319bf3dd954df51a8dc23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-08T05:21:57Z",
    "title_canon_sha256": "44d4edb4f8d2bb179c8e946eb63dc05337c3528a7018c3b3a21afe04a3c30149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07018",
    "kind": "arxiv",
    "version": 1
  }
}