Pith Number

pith:2O6QTVK2

pith:2016:2O6QTVK2IFC44ZEMEW4P4MQNA7

not attested not anchored not stored refs pending

Concentration-compactness at the mountain pass level for nonlocal Schr\"{o}dinger equations

Diego Ferraz, Jo\~ao Marcos do \'O

arxiv:1610.04724 v3 · 2016-10-15 · 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{2O6QTVK2IFC44ZEMEW4P4MQNA7}

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	2026-05-18T00:45:47.999288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3bd09d55a4145ce648c25b8fe320d07ed79f0e4dcd589aef033d847a111990b

Aliases

arxiv: 1610.04724 · arxiv_version: 1610.04724v3 · doi: 10.48550/arxiv.1610.04724 · pith_short_12: 2O6QTVK2IFC4 · pith_short_16: 2O6QTVK2IFC44ZEM · pith_short_8: 2O6QTVK2

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/2O6QTVK2IFC44ZEMEW4P4MQNA7 \
  | 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: d3bd09d55a4145ce648c25b8fe320d07ed79f0e4dcd589aef033d847a111990b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84629c2c5b685cb61861d1243aa8b9d65dd23e4977631049cf2f75c538bd085e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-15T11:56:33Z",
    "title_canon_sha256": "d537a49a66617736843d091720d66a5158e08a43e18fb8506fcb93c11f632171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04724",
    "kind": "arxiv",
    "version": 3
  }
}