pith. sign in
Pith Number

pith:VIB2RCX3

pith:2015:VIB2RCX3SEBPBN4MRGZ6RHIX43
not attested not anchored not stored refs pending

Low regularity Cauchy problem for the fifth-order modified KdV equations on $\mathbb{T}$

Chulkwang Kwak

arxiv:1510.00464 v2 · 2015-10-02 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VIB2RCX3SEBPBN4MRGZ6RHIX43}

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 2026-05-18T00:15:52.907978Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

aa03a88afb9102f0b78c89b3e89d17e6c17637c975f9f739957093093cb73a39

Aliases

arxiv: 1510.00464 · arxiv_version: 1510.00464v2 · doi: 10.48550/arxiv.1510.00464 · pith_short_12: VIB2RCX3SEBP · pith_short_16: VIB2RCX3SEBPBN4M · pith_short_8: VIB2RCX3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VIB2RCX3SEBPBN4MRGZ6RHIX43 \
  | 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: aa03a88afb9102f0b78c89b3e89d17e6c17637c975f9f739957093093cb73a39
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3dd4232e215e028f8acc97eb5e6ac63388406e6b221921baafc72eb7f8633cfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-02T01:42:55Z",
    "title_canon_sha256": "93883c6ee61e2e5cb1a2ff5a651788803f093a37df09ca834d4628ffa0f40492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00464",
    "kind": "arxiv",
    "version": 2
  }
}