Pith Number

pith:HKBPQEDX

pith:2019:HKBPQEDX7I4PQ5RLUHU5BOUM7I

not attested not anchored not stored refs pending

Separating of critical points on the Nehari manifold via the nonlinear generalized Rayleigh quotients

Carlos Alberto Santos, Marcos L. M. Carvalho, Yavdat Sh. Il'yasov

arxiv:1906.07759 v1 · 2019-06-18 · 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{HKBPQEDX7I4PQ5RLUHU5BOUM7I}

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	2026-05-17T23:42:57.831057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a82f81077fa38f8762ba1e9d0ba8cfa05af7ab5812066bf6b8aac2f6d540ba7

Aliases

arxiv: 1906.07759 · arxiv_version: 1906.07759v1 · doi: 10.48550/arxiv.1906.07759 · pith_short_12: HKBPQEDX7I4P · pith_short_16: HKBPQEDX7I4PQ5RL · pith_short_8: HKBPQEDX

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/HKBPQEDX7I4PQ5RLUHU5BOUM7I \
  | 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: 3a82f81077fa38f8762ba1e9d0ba8cfa05af7ab5812066bf6b8aac2f6d540ba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1701e87fbe95ce1172cbd34ba64a6cccaa1c509e540c87cd6ba61e0b8366c356",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-18T18:34:30Z",
    "title_canon_sha256": "7ff106a325300259032fe8a4549c20a54947781979f7e4c9e58339872d01fc1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07759",
    "kind": "arxiv",
    "version": 1
  }
}