Pith Number

pith:DGIZBK63

pith:2018:DGIZBK635JLL6A6PRD2J36OVPE

not attested not anchored not stored refs pending

On the fractional Schr\"{o}dinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity

Binlin Zhang, Du\v{s}an Repov\v{s}, Sihua Liang

arxiv:1803.05694 v1 · 2018-03-15 · 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{DGIZBK635JLL6A6PRD2J36OVPE}

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	2026-05-18T00:20:54.858481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

199190abdbea56bf03cf88f49df9d579195c21f67e73167ea0d9da2aad9b573e

Aliases

arxiv: 1803.05694 · arxiv_version: 1803.05694v1 · doi: 10.48550/arxiv.1803.05694 · pith_short_12: DGIZBK635JLL · pith_short_16: DGIZBK635JLL6A6P · pith_short_8: DGIZBK63

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/DGIZBK635JLL6A6PRD2J36OVPE \
  | 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: 199190abdbea56bf03cf88f49df9d579195c21f67e73167ea0d9da2aad9b573e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a76d0768fe1a066694de5e2d6451b47148a9a5331b4b7a9406f56aab546dfea8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-15T11:20:37Z",
    "title_canon_sha256": "dc78ee1d9acbb1ceeed576438643134da52a68fe1a7e7bfb1f8ef988c39ab1ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05694",
    "kind": "arxiv",
    "version": 1
  }
}