Pith Number

pith:QPBJVOES

pith:2018:QPBJVOESNQIJYFJELC6RJF5ARB

not attested not anchored not stored refs pending

Nonlinear Schr\"odinger equation in the Bopp-Podolsky electrodynamics: solutions in the electrostatic case

Gaetano Siciliano, Pietro d'Avenia

arxiv:1802.03380 v3 · 2018-02-09 · 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{QPBJVOESNQIJYFJELC6RJF5ARB}

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	2026-05-18T00:12:24.541141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83c29ab8926c109c152458bd1497a08856f1da570f30ebe7526b3c495a098400

Aliases

arxiv: 1802.03380 · arxiv_version: 1802.03380v3 · doi: 10.48550/arxiv.1802.03380 · pith_short_12: QPBJVOESNQIJ · pith_short_16: QPBJVOESNQIJYFJE · pith_short_8: QPBJVOES

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/QPBJVOESNQIJYFJELC6RJF5ARB \
  | 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: 83c29ab8926c109c152458bd1497a08856f1da570f30ebe7526b3c495a098400

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6f4d08f156988105805004c19bc93d8ebf56033209e980c9c278360d0faad83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-09T18:42:47Z",
    "title_canon_sha256": "7c65768d5e8ac8373fb3379cfb5e714da2ca037c2ea9a40741b423d7d5fac25e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03380",
    "kind": "arxiv",
    "version": 3
  }
}