Pith Number

pith:VTKQGEFM

pith:2018:VTKQGEFMBPKCMQTFJS4GZUCYSX

not attested not anchored not stored refs pending

On scattering for the defocusing quintic nonlinear Schr\"odinger equation on the two-dimensional cylinder

Xing Cheng, Zehua Zhao, Zihua Guo

arxiv:1809.01527 v1 · 2018-09-05 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTKQGEFMBPKCMQTFJS4GZUCYSX}

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	2026-05-18T00:06:27.327143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acd50310ac0bd42642654cb86cd05895dd4018ccc09749c21e8044203bac79c1

Aliases

arxiv: 1809.01527 · arxiv_version: 1809.01527v1 · doi: 10.48550/arxiv.1809.01527 · pith_short_12: VTKQGEFMBPKC · pith_short_16: VTKQGEFMBPKCMQTF · pith_short_8: VTKQGEFM

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/VTKQGEFMBPKCMQTFJS4GZUCYSX \
  | 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: acd50310ac0bd42642654cb86cd05895dd4018ccc09749c21e8044203bac79c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a607867c2b5ff6a10f3ab94e03615691e9e42b4cc8253379c93d705d8fa875e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-05T14:07:56Z",
    "title_canon_sha256": "52d255b73c8fa3af449847d66e5aeeae67c6560cc6ba3789242d7791d221f6c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01527",
    "kind": "arxiv",
    "version": 1
  }
}