Pith Number

pith:RWSNS4EU

pith:2026:RWSNS4EUMKRCQ53C4QBUGH2BZF

not attested not anchored not stored refs pending

A Pohozaev-type neck proof of a conditional Harnack inequality in the critical $p$-Laplacian setting

Guolin Qin, Yi Ru-Ya Zhang

arxiv:2606.05990 v1 · 2026-06-04 · 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{RWSNS4EUMKRCQ53C4QBUGH2BZF}

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	2026-06-05T01:15:29.751726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8da4d9709462a2287762e403431f41c94d5f6c4180d9989cd2e5b7f111fd5485

Aliases

arxiv: 2606.05990 · arxiv_version: 2606.05990v1 · doi: 10.48550/arxiv.2606.05990 · pith_short_12: RWSNS4EUMKRC · pith_short_16: RWSNS4EUMKRCQ53C · pith_short_8: RWSNS4EU

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/RWSNS4EUMKRCQ53C4QBUGH2BZF \
  | 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: 8da4d9709462a2287762e403431f41c94d5f6c4180d9989cd2e5b7f111fd5485

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c9bf3a608b055b7fb5596426bbfb743530a54db13589a9c551215ff8d83da64",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-04T10:35:16Z",
    "title_canon_sha256": "95223fcf2638cf5b6d1a0138dc5e28a2eb91fac7a8ce7c41ac10f31b4a01e298"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05990",
    "kind": "arxiv",
    "version": 1
  }
}