Pith Number

pith:CZXR2GXP

pith:2014:CZXR2GXPOGIMKIKWB7HXVCNMNN

not attested not anchored not stored refs pending

Strichartz inequalities for the Schr\"odinger equation with the full Laplacian on H-type groups

Manli Song

arxiv:1402.4311 v4 · 2014-02-18 · 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{CZXR2GXPOGIMKIKWB7HXVCNMNN}

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	2026-05-18T00:49:42.890220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

166f1d1aef7190c521560fcf7a89ac6b6fe04a1920389709956792f5da215d15

Aliases

arxiv: 1402.4311 · arxiv_version: 1402.4311v4 · doi: 10.48550/arxiv.1402.4311 · pith_short_12: CZXR2GXPOGIM · pith_short_16: CZXR2GXPOGIMKIKW · pith_short_8: CZXR2GXP

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/CZXR2GXPOGIMKIKWB7HXVCNMNN \
  | 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: 166f1d1aef7190c521560fcf7a89ac6b6fe04a1920389709956792f5da215d15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91b7a3e9ed59eb7eb0f39f3a91714b36d748ef417f767214044241070220a68d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-18T12:13:54Z",
    "title_canon_sha256": "dc6c324bd865b738b2811ff996838b240cb036b5e789260d470ed29b59548382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4311",
    "kind": "arxiv",
    "version": 4
  }
}