Pith Number

pith:4LGZRHIE

pith:2025:4LGZRHIEQISTLJPDDREUWBGPD5

not attested not anchored not stored refs pending

Decay estimates for discrete bi-Laplace operators with potentials on the lattice $\mathbb{Z}$

Sisi Huang, Xiaohua Yao

arxiv:2506.23119 v1 · 2025-06-29 · 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{4LGZRHIEQISTLJPDDREUWBGPD5}

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	2026-07-05T11:29:15.991449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2cd989d04822535a5e31c494b04cf1f4520aa0d563c5486bae16f589a19e8c8

Aliases

arxiv: 2506.23119 · arxiv_version: 2506.23119v1 · doi: 10.48550/arxiv.2506.23119 · pith_short_12: 4LGZRHIEQIST · pith_short_16: 4LGZRHIEQISTLJPD · pith_short_8: 4LGZRHIE

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/4LGZRHIEQISTLJPDDREUWBGPD5 \
  | 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: e2cd989d04822535a5e31c494b04cf1f4520aa0d563c5486bae16f589a19e8c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f29a601c5431bcd903f5e0062a0a3c29ad46cc0d288772509df8bfb83bc15e0b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-29T06:57:03Z",
    "title_canon_sha256": "ccca08fc065df281e4e97f0dfed401f29fd017af84d2c132313e366737f480a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23119",
    "kind": "arxiv",
    "version": 1
  }
}