Pith Number

pith:OCGPGEMV

pith:2025:OCGPGEMV22O7PYOON4NGFB6A7I

not attested not anchored not stored refs pending

Existence and multiplicity of solutions to discrete fractional logarithmic Kirchhoff equations

Lidan Wang

arxiv:2508.18840 v1 · 2025-08-26 · 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{OCGPGEMV22O7PYOON4NGFB6A7I}

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	2026-07-05T11:59:32.090256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

708cf31195d69df7e1ce6f1a6287c0fa2da68f137bfa24d52cd0d47c73c7d8ae

Aliases

arxiv: 2508.18840 · arxiv_version: 2508.18840v1 · doi: 10.48550/arxiv.2508.18840 · pith_short_12: OCGPGEMV22O7 · pith_short_16: OCGPGEMV22O7PYOO · pith_short_8: OCGPGEMV

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/OCGPGEMV22O7PYOON4NGFB6A7I \
  | 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: 708cf31195d69df7e1ce6f1a6287c0fa2da68f137bfa24d52cd0d47c73c7d8ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "699dbb953bdb20e4c8eea68a0cd35c19eacfd380ecff7d85f2a343b5c1a6e025",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-26T09:17:19Z",
    "title_canon_sha256": "b4c2840748ce6a2c6e916d7591053111f9e8ae89e31b94fb0a47188d1df67372"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.18840",
    "kind": "arxiv",
    "version": 1
  }
}