Pith Number

pith:7LBQMTIF

pith:2013:7LBQMTIFKJ6MCV5GKI3T3HYFFL

not attested not anchored not stored refs pending

Well-posedness and scattering for a system of quadratic derivative nonlinear Schr\"odinger equations with low regularity initial data

Hiroyuki Hirayama

arxiv:1309.4336 v2 · 2013-09-17 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7LBQMTIFKJ6MCV5GKI3T3HYFFL}

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	2026-05-18T00:14:01.716585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fac3064d05527cc157a652373d9f052ac3a3360c1396002ac634d104a44d12b5

Aliases

arxiv: 1309.4336 · arxiv_version: 1309.4336v2 · doi: 10.48550/arxiv.1309.4336 · pith_short_12: 7LBQMTIFKJ6M · pith_short_16: 7LBQMTIFKJ6MCV5G · pith_short_8: 7LBQMTIF

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/7LBQMTIFKJ6MCV5GKI3T3HYFFL \
  | 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: fac3064d05527cc157a652373d9f052ac3a3360c1396002ac634d104a44d12b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153cb7ea691e94cf3491cd4b757bf1e92fada03d0718b3223a1534840707a53b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-17T14:51:47Z",
    "title_canon_sha256": "0b7322313c2744bbae51a34e35d777140558e371cdb4cba9c19d1105667c9802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4336",
    "kind": "arxiv",
    "version": 2
  }
}