Pith Number

pith:AYXUZ23B

pith:2019:AYXUZ23B73E5Q5MRF35MBQIY2P

not attested not anchored not stored refs pending

The role of potential, Morawetz estimate and spacetime bound for quasilinear Schr\"{o}dinger equations

Xianfa Song

arxiv:1904.10342 v1 · 2019-04-22 · 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{AYXUZ23B73E5Q5MRF35MBQIY2P}

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	2026-05-17T23:47:54.369656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

062f4ceb61fec9d875912efac0c118d3ff7be59696b2a71ce7ba96e1a3a43b1d

Aliases

arxiv: 1904.10342 · arxiv_version: 1904.10342v1 · doi: 10.48550/arxiv.1904.10342 · pith_short_12: AYXUZ23B73E5 · pith_short_16: AYXUZ23B73E5Q5MR · pith_short_8: AYXUZ23B

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/AYXUZ23B73E5Q5MRF35MBQIY2P \
  | 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: 062f4ceb61fec9d875912efac0c118d3ff7be59696b2a71ce7ba96e1a3a43b1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4f13fbc8381649117861ed46e5c5e7444314ebd60f6cd23a3b149a4e7f2b3d4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-04-22T02:53:03Z",
    "title_canon_sha256": "19b8db9fc6fba9eeb84c09c8871ad361dc55e014be5d91373dc480bbc463de63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10342",
    "kind": "arxiv",
    "version": 1
  }
}