Pith Number

pith:GP45E7KK

pith:2025:GP45E7KKKJJFVQRW7E45MY6BLC

not attested not anchored not stored refs pending

The periodic KdV with control on space-time measurable sets

Jingrui Niu, Ming Wang, Shengquan Xiang

arxiv:2507.13740 v1 · 2025-07-18 · math.AP · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GP45E7KKKJJFVQRW7E45MY6BLC}

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	2026-07-05T11:39:22.115906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33f9d27d4a52525ac236f939d663c158b823c6df93599d5f074736c82a23fff6

Aliases

arxiv: 2507.13740 · arxiv_version: 2507.13740v1 · doi: 10.48550/arxiv.2507.13740 · pith_short_12: GP45E7KKKJJF · pith_short_16: GP45E7KKKJJFVQRW · pith_short_8: GP45E7KK

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/GP45E7KKKJJFVQRW7E45MY6BLC \
  | 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: 33f9d27d4a52525ac236f939d663c158b823c6df93599d5f074736c82a23fff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "499281baa948ef05b82ef1f83faa0703622b3d1ca60c0d03d52ca3949bc62f16",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-18T08:41:07Z",
    "title_canon_sha256": "5349bbefc1068a61ed1b8e01a4baba0fd49e737245dbda5bcab54d20fca92d58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13740",
    "kind": "arxiv",
    "version": 1
  }
}