Pith Number

pith:KX4ZHYMP

pith:2015:KX4ZHYMPA6XA3J6IL3AH3KTFE2

not attested not anchored not stored refs pending

Hardy Uncertainty Principle, Convexity and Parabolic Evolutions

C. E. Kenig, G. Ponce, L. Escauriaza, L. Vega

arxiv:1506.05670 v1 · 2015-06-18 · math.AP · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KX4ZHYMPA6XA3J6IL3AH3KTFE2}

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	2026-05-18T01:22:39.644244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55f993e18f07ae0da7c85ec07daa6526b063de5e28ac5984e61ae89d2dfc2a3a

Aliases

arxiv: 1506.05670 · arxiv_version: 1506.05670v1 · doi: 10.48550/arxiv.1506.05670 · pith_short_12: KX4ZHYMPA6XA · pith_short_16: KX4ZHYMPA6XA3J6I · pith_short_8: KX4ZHYMP

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/KX4ZHYMPA6XA3J6IL3AH3KTFE2 \
  | 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: 55f993e18f07ae0da7c85ec07daa6526b063de5e28ac5984e61ae89d2dfc2a3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f71224b63cc8b6a8fc7a7ef5605e860a289a187e5b0879702de51a9c5e520c1c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-18T13:27:09Z",
    "title_canon_sha256": "2f7ec108582cb45644ee2f82710cb006db12e6aaa688ca24e3505245ac017718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05670",
    "kind": "arxiv",
    "version": 1
  }
}