Pith Number

pith:T7J4Z6BC

pith:2024:T7J4Z6BCKKQXMRAMPYOYFKITE6

not attested not anchored not stored refs pending

The direct moving sphere for fractional Laplace equation

Congming Li, Hui Yang, Meiqing Xu, Ran Zhuo

arxiv:2410.23655 v1 · 2024-10-31 · 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{T7J4Z6BCKKQXMRAMPYOYFKITE6}

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	2026-07-05T09:29:03.299112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fd3ccf82252a176440c7e1d82a91327ba68f6d315fff7b3d9508e1503908572

Aliases

arxiv: 2410.23655 · arxiv_version: 2410.23655v1 · doi: 10.48550/arxiv.2410.23655 · pith_short_12: T7J4Z6BCKKQX · pith_short_16: T7J4Z6BCKKQXMRAM · pith_short_8: T7J4Z6BC

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/T7J4Z6BCKKQXMRAMPYOYFKITE6 \
  | 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: 9fd3ccf82252a176440c7e1d82a91327ba68f6d315fff7b3d9508e1503908572

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce2f57d9166ddf6dad0e04d654e33b7ec5098ea0ca0224bc2aaaf2436b8d9874",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-10-31T06:10:03Z",
    "title_canon_sha256": "adc825f1c6b7687b84afb60331f370bac8ccf62c09961edb6c3e62873146f4bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.23655",
    "kind": "arxiv",
    "version": 1
  }
}