Pith Number

pith:SSX54MHE

pith:2025:SSX54MHEQUVPF2IMLGUTCZY6FU

not attested not anchored not stored refs pending

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations

Maria Pia Gualdani, Ricardo Alonso, Weiran Sun

arxiv:2506.20775 v2 · 2025-06-25 · 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{SSX54MHEQUVPF2IMLGUTCZY6FU}

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	2026-07-05T11:34:09.891619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94afde30e4852af2e90c59a931671e2d3286d7d347381fa0a4bacdb043aa3516

Aliases

arxiv: 2506.20775 · arxiv_version: 2506.20775v2 · doi: 10.48550/arxiv.2506.20775 · pith_short_12: SSX54MHEQUVP · pith_short_16: SSX54MHEQUVPF2IM · pith_short_8: SSX54MHE

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/SSX54MHEQUVPF2IMLGUTCZY6FU \
  | 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: 94afde30e4852af2e90c59a931671e2d3286d7d347381fa0a4bacdb043aa3516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e8d49a44b72ca5120a033b28b2191e9725940e68b6719d1501e5a0fafb22430",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-25T19:07:49Z",
    "title_canon_sha256": "1a28b6bf87c742b32d734588b964682ae0469e54990223788a908a92524a3ecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.20775",
    "kind": "arxiv",
    "version": 2
  }
}