Pith Number

pith:4M24NU4L

pith:2011:4M24NU4LI4XOY2KMG3MN6BF4XS

not attested not anchored not stored refs pending

An overdetermined problem in Riesz-potential and fractional Laplacian

Guozhen Lu, Jiuyi Zhu

arxiv:1101.1649 v2 · 2011-01-09 · 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{4M24NU4LI4XOY2KMG3MN6BF4XS}

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	2026-05-18T04:30:13.453943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e335c6d38b472eec694c36d8df04bcbca9adc85db8d69673982e7c4ceea80e4d

Aliases

arxiv: 1101.1649 · arxiv_version: 1101.1649v2 · doi: 10.48550/arxiv.1101.1649 · pith_short_12: 4M24NU4LI4XO · pith_short_16: 4M24NU4LI4XOY2KM · pith_short_8: 4M24NU4L

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/4M24NU4LI4XOY2KMG3MN6BF4XS \
  | 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: e335c6d38b472eec694c36d8df04bcbca9adc85db8d69673982e7c4ceea80e4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b99a5b426600a6e75b0c678b724857bd0728bf790e25cbe8f98fee8924802e3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-09T15:46:21Z",
    "title_canon_sha256": "fd8dd54889979ecf70d4666e967b8bc9631e55e5939be8d039ce6779cef906c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1649",
    "kind": "arxiv",
    "version": 2
  }
}