Pith Number

pith:NO4QX5QJ

pith:2024:NO4QX5QJ73FHVSDKVQ2V2IKMM5

not attested not anchored not stored refs pending

Optimal higher derivative estimates for solutions of the Lam\'e system with closely spaced hard inclusions

Haigang Li, Hongjie Dong, Huaijun Teng, Peihao Zhang

arxiv:2411.15498 v1 · 2024-11-23 · 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{NO4QX5QJ73FHVSDKVQ2V2IKMM5}

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	2026-07-05T09:39:35.904565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bb90bf609feca7ac86aac355d214c674bafbc9c4c01249e84ac7013c7ba8cf7

Aliases

arxiv: 2411.15498 · arxiv_version: 2411.15498v1 · doi: 10.48550/arxiv.2411.15498 · pith_short_12: NO4QX5QJ73FH · pith_short_16: NO4QX5QJ73FHVSDK · pith_short_8: NO4QX5QJ

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/NO4QX5QJ73FHVSDKVQ2V2IKMM5 \
  | 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: 6bb90bf609feca7ac86aac355d214c674bafbc9c4c01249e84ac7013c7ba8cf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eaea68b0018e18c61d84ce82b2f037c93376d74820f0b06aa7357aa7f2bf7b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-23T09:20:32Z",
    "title_canon_sha256": "0605a5ff216bb2c1dd9e985c4fff13b03919deddf0bb9e78926d8f5f1d4e274b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15498",
    "kind": "arxiv",
    "version": 1
  }
}