Pith Number

pith:Z4GSHCEH

pith:2025:Z4GSHCEHPCA7A5GDUY5OS2KJMS

not attested not anchored not stored refs pending

Long-time asymptotics of the defocusing mKdV equation with step initial data

Deng-Shan Wang, Ding Wen

arxiv:2506.01570 v2 · 2025-06-02 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4GSHCEHPCA7A5GDUY5OS2KJMS}

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	2026-07-05T11:27:30.428975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf0d2388877881f074c3a63ae9694964b14912f8f9a6313a5e557791f87aa7bb

Aliases

arxiv: 2506.01570 · arxiv_version: 2506.01570v2 · doi: 10.48550/arxiv.2506.01570 · pith_short_12: Z4GSHCEHPCA7 · pith_short_16: Z4GSHCEHPCA7A5GD · pith_short_8: Z4GSHCEH

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/Z4GSHCEHPCA7A5GDUY5OS2KJMS \
  | 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: cf0d2388877881f074c3a63ae9694964b14912f8f9a6313a5e557791f87aa7bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25538fba2629dc99cb7556725ea9e3a1756869b2755e9755601e16730ea0e54d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-02T11:54:12Z",
    "title_canon_sha256": "a9851f347e64c41afe42a570b1641384460af4a3a522ba689c5fce161593730d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01570",
    "kind": "arxiv",
    "version": 2
  }
}