Pith Number

pith:5OY5JSET

pith:2018:5OY5JSETRH4VDSPPB3PZKX5S2Z

not attested not anchored not stored refs pending

Friedrichs Extension and Min-Max Principle for Operators with a Gap

Jan Philip Solovej, Lukas Schimmer, Sabiha Tokus

arxiv:1806.05206 v2 · 2018-06-13 · math-ph · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OY5JSETRH4VDSPPB3PZKX5S2Z}

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	2026-05-17T23:56:33.816244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb1d4c89389f951c9ef0edf955fb2d640e136c64334c4a5fd30f4cc60f207a6

Aliases

arxiv: 1806.05206 · arxiv_version: 1806.05206v2 · doi: 10.48550/arxiv.1806.05206 · pith_short_12: 5OY5JSETRH4V · pith_short_16: 5OY5JSETRH4VDSPP · pith_short_8: 5OY5JSET

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/5OY5JSETRH4VDSPPB3PZKX5S2Z \
  | 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: ebb1d4c89389f951c9ef0edf955fb2d640e136c64334c4a5fd30f4cc60f207a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bdeb24dfe0d47ea1938a13fa409cbb23091e200284f9b3251c00398874824bd",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-06-13T18:16:42Z",
    "title_canon_sha256": "7b282ff93bdec541fe852ba2147d923febe69e29911129626e60774badc29396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05206",
    "kind": "arxiv",
    "version": 2
  }
}