Pith Number

pith:3NRUGQ4K

pith:2026:3NRUGQ4KWQ4F7TVG2U6NTRIZKA

not attested not anchored not stored refs pending

Precise asymptotic estimates and non-degeneracy of solutions to a biharmonic problem with large exponents in dimension four

Wenjie Wang, Xiuda Liang

arxiv:2605.24338 v1 · 2026-05-23 · 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{3NRUGQ4KWQ4F7TVG2U6NTRIZKA}

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	2026-05-26T01:03:00.704459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db6343438ab4385fcea6d53cd9c51950140a2653c10ec053e7d93ece57be45a6

Aliases

arxiv: 2605.24338 · arxiv_version: 2605.24338v1 · doi: 10.48550/arxiv.2605.24338 · pith_short_12: 3NRUGQ4KWQ4F · pith_short_16: 3NRUGQ4KWQ4F7TVG · pith_short_8: 3NRUGQ4K

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/3NRUGQ4KWQ4F7TVG2U6NTRIZKA \
  | 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: db6343438ab4385fcea6d53cd9c51950140a2653c10ec053e7d93ece57be45a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00edf83635b7e7ece3b414dfecf8573b8e20e84ee12384a3495ae10181a14402",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-23T01:47:13Z",
    "title_canon_sha256": "04f7681593a54bbdfc35d057eb9f7975d167d6c175c0b38c4a6da59951bfbc09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24338",
    "kind": "arxiv",
    "version": 1
  }
}