Pith Number

pith:647LT4VH

pith:2017:647LT4VHUFLUI7OWM2AQILW353

not attested not anchored not stored refs pending

Attainability of the fractional Hardy constant with nonlocal mixed boundary conditions. Applications

Abdelrazek Dieb, Ahmed Attar, Boumediene Abdellaoui, Ireneo Peral

arxiv:1709.08399 v1 · 2017-09-25 · 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{647LT4VHUFLUI7OWM2AQILW353}

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	2026-05-18T00:34:25.725947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f73eb9f2a7a157447dd66681042edbeec803ff2adc7afa960bdfcfde8af1168f

Aliases

arxiv: 1709.08399 · arxiv_version: 1709.08399v1 · doi: 10.48550/arxiv.1709.08399 · pith_short_12: 647LT4VHUFLU · pith_short_16: 647LT4VHUFLUI7OW · pith_short_8: 647LT4VH

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/647LT4VHUFLUI7OWM2AQILW353 \
  | 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: f73eb9f2a7a157447dd66681042edbeec803ff2adc7afa960bdfcfde8af1168f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7ff70c1e92d9cb6b02062b50d71ecdfb96f1547a270a4581b403e5783a0ffe7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-25T09:36:47Z",
    "title_canon_sha256": "960617f41e51b5126099c7673e0af000c8771e6a4866f7e080e3a1772db36398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08399",
    "kind": "arxiv",
    "version": 1
  }
}