Pith Number

pith:UPSJKTHW

pith:2015:UPSJKTHWEPDTL6AY4XPCQZZWXH

not attested not anchored not stored refs pending

The Dirichlet elliptic problem involving regional fractional Laplacian

Huyuan Chen

arxiv:1509.05838 v3 · 2015-09-19 · 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{UPSJKTHWEPDTL6AY4XPCQZZWXH}

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	2026-05-18T00:51:28.542426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3e4954cf623c735f818e5de286736b9ea5900b931f6a34332fd18fedeb1a431

Aliases

arxiv: 1509.05838 · arxiv_version: 1509.05838v3 · doi: 10.48550/arxiv.1509.05838 · pith_short_12: UPSJKTHWEPDT · pith_short_16: UPSJKTHWEPDTL6AY · pith_short_8: UPSJKTHW

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/UPSJKTHWEPDTL6AY4XPCQZZWXH \
  | 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: a3e4954cf623c735f818e5de286736b9ea5900b931f6a34332fd18fedeb1a431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47fabd19c8195e2db8e79775dc38e09bb1f36ab68f304db232ae045eb4168355",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-19T01:17:42Z",
    "title_canon_sha256": "7b05b88ecd5f469d320e758f75d10c64b3ddd4d07d7f0167ae72319c117043ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05838",
    "kind": "arxiv",
    "version": 3
  }
}