Pith Number

pith:MOOQXBHB

pith:2019:MOOQXBHBIIIFNZVC6CI2S5VDT7

not attested not anchored not stored refs pending

Multiplicity results for fractional magnetic problems involving exponential growth

Jo\~ao Marcos do \'O, Manass\'es de Souza, Pawan Kumar Mishra

arxiv:1906.12013 v1 · 2019-06-28 · 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{MOOQXBHBIIIFNZVC6CI2S5VDT7}

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	2026-05-17T23:41:59.528567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

639d0b84e1421056e6a2f091a976a39fd2b58a0d9d7964c231111ab1013945cb

Aliases

arxiv: 1906.12013 · arxiv_version: 1906.12013v1 · doi: 10.48550/arxiv.1906.12013 · pith_short_12: MOOQXBHBIIIF · pith_short_16: MOOQXBHBIIIFNZVC · pith_short_8: MOOQXBHB

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/MOOQXBHBIIIFNZVC6CI2S5VDT7 \
  | 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: 639d0b84e1421056e6a2f091a976a39fd2b58a0d9d7964c231111ab1013945cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7ba6c0723a67a56e2f25e51ec04100b11a8219df56c31780f8f4c5cef820f0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-28T02:00:49Z",
    "title_canon_sha256": "c541b8e36f35e50ee4545ae4eb04f5204301623ffcbbe281b8934f64a4f3086c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.12013",
    "kind": "arxiv",
    "version": 1
  }
}