Pith Number

pith:6NO7NXXR

pith:2019:6NO7NXXRPQXP67T6LXRGSC3JSO

not attested not anchored not stored refs pending

Long-time asymptotics of the modified KdV equation in weighted Sobolev spaces

Gong Chen, Jiaqi Liu

arxiv:1903.03855 v3 · 2019-03-09 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6NO7NXXRPQXP67T6LXRGSC3JSO}

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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

The large time asymptotics of nonlinear multichannel Schroedinger equations

Receipt and verification

First computed	2026-07-05T04:11:22.204584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f35df6def17c2eff7e7e5de2690b699390a8e55566f7a93604ddddc2a4acb3ea

Aliases

arxiv: 1903.03855 · arxiv_version: 1903.03855v3 · doi: 10.48550/arxiv.1903.03855 · pith_short_12: 6NO7NXXRPQXP · pith_short_16: 6NO7NXXRPQXP67T6 · pith_short_8: 6NO7NXXR

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/6NO7NXXRPQXP67T6LXRGSC3JSO \
  | 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: f35df6def17c2eff7e7e5de2690b699390a8e55566f7a93604ddddc2a4acb3ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "005850323b9707d9264cf15bf249219c3ded7aad004dd825a7159919bae3645f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-09T19:27:43Z",
    "title_canon_sha256": "44d566bbb5541c4aab6063b9e7d4855a7d611b7bd7c7080ba86c214cb0b09a76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03855",
    "kind": "arxiv",
    "version": 3
  }
}