Pith Number

pith:GGVZON5Y

pith:2016:GGVZON5YV3XK7XKWFDBQDG3SL6

not attested not anchored not stored refs pending

Compactness, existence and multiplicity for the singular mean field problem with sign-changing potentials

David Ruiz, Francesca De Marchis, Rafael L\'opez-Soriano

arxiv:1612.02080 v3 · 2016-12-07 · 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{GGVZON5YV3XK7XKWFDBQDG3SL6}

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	2026-05-18T00:39:56.822204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ab9737b8aeeeafdd5628c3019b725f8de2791c5b1cc8e1b374e79ef1ea2223

Aliases

arxiv: 1612.02080 · arxiv_version: 1612.02080v3 · doi: 10.48550/arxiv.1612.02080 · pith_short_12: GGVZON5YV3XK · pith_short_16: GGVZON5YV3XK7XKW · pith_short_8: GGVZON5Y

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/GGVZON5YV3XK7XKWFDBQDG3SL6 \
  | 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: 31ab9737b8aeeeafdd5628c3019b725f8de2791c5b1cc8e1b374e79ef1ea2223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a62e95a6d5f3f1078f4c2784002806b2dde02deeedfcd6d19f2ec1a9c98ec6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-07T00:26:22Z",
    "title_canon_sha256": "3d1aea5a4c2875fd295aa8e5c19992cedd457e1b3c2e1bb97c42334fc639a255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02080",
    "kind": "arxiv",
    "version": 3
  }
}