Pith Number

pith:LUCAL2TF

pith:2016:LUCAL2TFP7HX5PQ3MF75YOYOMX

not attested not anchored not stored refs pending

Smoothing for the Zakharov & Klein-Gordon-Schr\"{o}dinger Systems on Euclidean Spaces

E. Compaan

arxiv:1605.05410 v1 · 2016-05-18 · 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{LUCAL2TFP7HX5PQ3MF75YOYOMX}

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	2026-05-18T01:14:35.069443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d0405ea657fcf7ebe1b617fdc3b0e65dccfb94f18c8aabc386ccd279993f4e9

Aliases

arxiv: 1605.05410 · arxiv_version: 1605.05410v1 · doi: 10.48550/arxiv.1605.05410 · pith_short_12: LUCAL2TFP7HX · pith_short_16: LUCAL2TFP7HX5PQ3 · pith_short_8: LUCAL2TF

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/LUCAL2TFP7HX5PQ3MF75YOYOMX \
  | 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: 5d0405ea657fcf7ebe1b617fdc3b0e65dccfb94f18c8aabc386ccd279993f4e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "529ac2b0d5621d38546fa84000457b8b990f9603db386a9e01be0d232f426a9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-18T00:57:24Z",
    "title_canon_sha256": "ad3471a31de56517831d60d07b81074f581bd81b8b756fc77336f485939eddca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05410",
    "kind": "arxiv",
    "version": 1
  }
}