Pith Number

pith:YUKIWVWC

pith:2012:YUKIWVWCNM6QM45UYDHEKUEM7M

not attested not anchored not stored refs pending

Strichartz estimates for the Schr\"odinger equation for the sublaplacian on complex spheres

Marco M. Peloso, Valentina Casarino

arxiv:1210.4295 v4 · 2012-10-16 · 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{YUKIWVWCNM6QM45UYDHEKUEM7M}

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	2026-05-18T03:26:41.124034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5148b56c26b3d0673b4c0ce45508cfb1ceb4ada1c6038040f03e1f521d79dbc

Aliases

arxiv: 1210.4295 · arxiv_version: 1210.4295v4 · doi: 10.48550/arxiv.1210.4295 · pith_short_12: YUKIWVWCNM6Q · pith_short_16: YUKIWVWCNM6QM45U · pith_short_8: YUKIWVWC

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/YUKIWVWCNM6QM45UYDHEKUEM7M \
  | 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: c5148b56c26b3d0673b4c0ce45508cfb1ceb4ada1c6038040f03e1f521d79dbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9a1472bc71c55de08d5701d9c649b3e1b089448419a1c48cbf181f1d4fcc116",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-16T08:26:18Z",
    "title_canon_sha256": "726d463290af72026bf70d87b7218afe4e0958b44c2761450a94a7a26d152598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4295",
    "kind": "arxiv",
    "version": 4
  }
}