Pith Number

pith:ZF4M7ITW

pith:2018:ZF4M7ITWGHHMTOFIWJ3IHC6AT6

not attested not anchored not stored refs pending

Existence of solutions for a class of fractional elliptic problems on exterior domains

Cesar E. Torres Ledesma, Claudianor O. Alves, Giovanni Molica Bisci

arxiv:1812.04878 v1 · 2018-12-12 · 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{ZF4M7ITWGHHMTOFIWJ3IHC6AT6}

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	2026-05-17T23:58:27.080852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c978cfa27631cec9b8a8b276838bc09fb257856014a1759026f498e9a51b8246

Aliases

arxiv: 1812.04878 · arxiv_version: 1812.04878v1 · doi: 10.48550/arxiv.1812.04878 · pith_short_12: ZF4M7ITWGHHM · pith_short_16: ZF4M7ITWGHHMTOFI · pith_short_8: ZF4M7ITW

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/ZF4M7ITWGHHMTOFIWJ3IHC6AT6 \
  | 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: c978cfa27631cec9b8a8b276838bc09fb257856014a1759026f498e9a51b8246

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "722f11e0edb90ed7c3d6f361e00458ec657506b41d949e8f51167d421bad6ced",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-12T10:21:59Z",
    "title_canon_sha256": "1888e934d199097c5dc0d47f800072c3fb5d6d9647d21d5e03b08aff4e624526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04878",
    "kind": "arxiv",
    "version": 1
  }
}