Pith Number

pith:5SMKH2TX

pith:2014:5SMKH2TXT5KBUALMIQ5SFION73

not attested not anchored not stored refs pending

Solvability of semilinear equations with zero on the boundary of spectral gap and applications to nonlinear Schr\"{o}dinger equation

Przemys{\l}aw Zieli\'nski

arxiv:1404.7624 v1 · 2014-04-30 · math.FA · 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{5SMKH2TXT5KBUALMIQ5SFION73}

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	2026-05-18T02:52:55.192962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec98a3ea779f541a016c443b22a1cdfeceb73cf52e8403b92c413d1ab89dc9d8

Aliases

arxiv: 1404.7624 · arxiv_version: 1404.7624v1 · doi: 10.48550/arxiv.1404.7624 · pith_short_12: 5SMKH2TXT5KB · pith_short_16: 5SMKH2TXT5KBUALM · pith_short_8: 5SMKH2TX

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/5SMKH2TXT5KBUALMIQ5SFION73 \
  | 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: ec98a3ea779f541a016c443b22a1cdfeceb73cf52e8403b92c413d1ab89dc9d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b243373cdec51c4be8eb077798f5fafd2d0579823e15340cc7837e8d03bbc24",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-04-30T08:18:50Z",
    "title_canon_sha256": "0e46941e5de6ac4a229a9d2dc00f740f1614dd7a5a5273eb3ed64bad94012084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7624",
    "kind": "arxiv",
    "version": 1
  }
}