Pith Number

pith:WHF3PKNM

pith:2025:WHF3PKNMBQ43RZL7HUCOKKDHJM

not attested not anchored not stored refs pending

Nontrivial solutions for nonlinear problems driven by a superposition of fractional p-Laplacians with Neumann boundary conditions

Yergen Aikyn

arxiv:2512.12351 v2 · 2025-12-13 · 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{WHF3PKNMBQ43RZL7HUCOKKDHJM}

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	2026-06-01T01:02:27.167893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1cbb7a9ac0c39b8e57f3d04e528674b0fb24ae98996c5537642010156c446b5

Aliases

arxiv: 2512.12351 · arxiv_version: 2512.12351v2 · doi: 10.48550/arxiv.2512.12351 · pith_short_12: WHF3PKNMBQ43 · pith_short_16: WHF3PKNMBQ43RZL7 · pith_short_8: WHF3PKNM

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/WHF3PKNMBQ43RZL7HUCOKKDHJM \
  | 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: b1cbb7a9ac0c39b8e57f3d04e528674b0fb24ae98996c5537642010156c446b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80afa25e32f9754074ffb4ac7da13dae936b9026f2ca2420fb2d4c73e8d2e53a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-12-13T14:44:29Z",
    "title_canon_sha256": "0226e05b73476b676c8dd386a9a0e5b213beabefb20e43810fbc331db70b401c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.12351",
    "kind": "arxiv",
    "version": 2
  }
}