Pith Number

pith:CCFPRJYB

pith:2015:CCFPRJYBBBJRFMDXRYQDOBRAB5

not attested not anchored not stored refs pending

The focusing cubic NLS on exterior domains in three dimensions

Monica Visan, Rowan Killip, Xiaoyi Zhang

arxiv:1501.05062 v1 · 2015-01-21 · 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{CCFPRJYBBBJRFMDXRYQDOBRAB5}

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	2026-05-18T02:29:00.827690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

108af8a701085312b0778e203706200f6b345a77e448fdbc7b84574d600cea56

Aliases

arxiv: 1501.05062 · arxiv_version: 1501.05062v1 · doi: 10.48550/arxiv.1501.05062 · pith_short_12: CCFPRJYBBBJR · pith_short_16: CCFPRJYBBBJRFMDX · pith_short_8: CCFPRJYB

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/CCFPRJYBBBJRFMDXRYQDOBRAB5 \
  | 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: 108af8a701085312b0778e203706200f6b345a77e448fdbc7b84574d600cea56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f7e882ce8fcf7c54c18ee42b186c320b3e8e176a0038e734f7da6509b9a9903",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-21T05:54:04Z",
    "title_canon_sha256": "3a1c98c15a82ec1bd6f0db1ba1c02310bae992dd6b56aa736945f69d11ef0de0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05062",
    "kind": "arxiv",
    "version": 1
  }
}