Pith Number

pith:3H4D3U5K

pith:2026:3H4D3U5KQTB5SXWLW4W4AOWDJ2

not attested not anchored not stored refs pending

Asymptotic behavior of solutions for the nonlinear Hartree equation involving the fractional Laplacian

Minbo Yang, Natalino Borgia, Shunneng Zhao, Silvia Cingolani

arxiv:2605.23810 v1 · 2026-05-22 · 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{3H4D3U5KQTB5SXWLW4W4AOWDJ2}

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	2026-05-25T02:02:33.505229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9f83dd3aa84c3d95ecbb72dc03ac34e84cebd594ecdf511e6579447420b6b4a

Aliases

arxiv: 2605.23810 · arxiv_version: 2605.23810v1 · doi: 10.48550/arxiv.2605.23810 · pith_short_12: 3H4D3U5KQTB5 · pith_short_16: 3H4D3U5KQTB5SXWL · pith_short_8: 3H4D3U5K

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/3H4D3U5KQTB5SXWLW4W4AOWDJ2 \
  | 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: d9f83dd3aa84c3d95ecbb72dc03ac34e84cebd594ecdf511e6579447420b6b4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "219827e5394aa5ee346d17923efe9b73e8fddbad3828c65fb07a1dc51184c063",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-22T16:14:59Z",
    "title_canon_sha256": "cbab8ee64fe515a9e7363855bf1506039d91fadecb952200f0b923e09c79998b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23810",
    "kind": "arxiv",
    "version": 1
  }
}