Pith Number

pith:HZ6VCKNC

pith:2022:HZ6VCKNCVZDJWY6WOA7YM3QK4P

not attested not anchored not stored refs pending

On the large-time asymptotics of the defocusing mKdV equation with step-like initial data

Taiyang Xu, Yidan Zhang

arxiv:2204.01299 v5 · 2022-04-04 · math.AP · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZ6VCKNCVZDJWY6WOA7YM3QK4P}

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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.

Cited by

1 paper in Pith

Painlev\'e \uppercase\expandafter{\romannumeral34\relax} and collisionless shock in the defocusing NLS equation with step-like initial data in the transition regions

Receipt and verification

First computed	2026-07-28T02:23:09.489376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e7d5129a2ae469b63d6703f866e0ae3d7b4f53287119316628a85de1a27814e

Aliases

arxiv: 2204.01299 · arxiv_version: 2204.01299v5 · doi: 10.48550/arxiv.2204.01299 · pith_short_12: HZ6VCKNCVZDJ · pith_short_16: HZ6VCKNCVZDJWY6W · pith_short_8: HZ6VCKNC

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/HZ6VCKNCVZDJWY6WOA7YM3QK4P \
  | 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: 3e7d5129a2ae469b63d6703f866e0ae3d7b4f53287119316628a85de1a27814e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68ea6ac656bd98f1c033a2c8158d99f609fecc7890e5f878a4ea561243bfe4f6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-04-04T08:14:13Z",
    "title_canon_sha256": "afa58ac9d064799720b901b56ac8ea55f4391a62aa4d8882d6f51142d494f9c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.01299",
    "kind": "arxiv",
    "version": 5
  }
}