Pith Number

pith:3ZJEZOKZ

pith:2025:3ZJEZOKZ2D5RGYCB7L57VVFK2K

not attested not anchored not stored refs pending

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three

Yixing Pu

arxiv:2506.01652 v2 · 2025-06-02 · 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{3ZJEZOKZ2D5RGYCB7L57VVFK2K}

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	2026-07-05T11:35:35.355682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de524cb959d0fb136041fafbfad4aad2b090d59bb0a2d291eebd17c0541887ea

Aliases

arxiv: 2506.01652 · arxiv_version: 2506.01652v2 · doi: 10.48550/arxiv.2506.01652 · pith_short_12: 3ZJEZOKZ2D5R · pith_short_16: 3ZJEZOKZ2D5RGYCB · pith_short_8: 3ZJEZOKZ

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/3ZJEZOKZ2D5RGYCB7L57VVFK2K \
  | 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: de524cb959d0fb136041fafbfad4aad2b090d59bb0a2d291eebd17c0541887ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ad35da9313c3e4deefaa57665fc51349d91d7aed020e46879d09bebdff9d3e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-02T13:25:36Z",
    "title_canon_sha256": "61bbe4416db6cf0fb74ef6fddb41bf6a483bdba33bfc128978882ab9c573f4f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01652",
    "kind": "arxiv",
    "version": 2
  }
}