Pith Number

pith:5WBMXVHV

pith:2015:5WBMXVHVZKLKKQ7SKZTNFOR5AQ

not attested not anchored not stored refs pending

A pointwise inequality for fractional laplacians

Angel D. Martinez, Antonio Cordoba

arxiv:1502.01635 v1 · 2015-02-05 · 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{5WBMXVHVZKLKKQ7SKZTNFOR5AQ}

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	2026-05-18T02:27:51.651697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed82cbd4f5ca96a543f25666d2ba3d0402bcae24f48368a5329573d93c542a65

Aliases

arxiv: 1502.01635 · arxiv_version: 1502.01635v1 · doi: 10.48550/arxiv.1502.01635 · pith_short_12: 5WBMXVHVZKLK · pith_short_16: 5WBMXVHVZKLKKQ7S · pith_short_8: 5WBMXVHV

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/5WBMXVHVZKLKKQ7SKZTNFOR5AQ \
  | 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: ed82cbd4f5ca96a543f25666d2ba3d0402bcae24f48368a5329573d93c542a65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ec9a1043e2d57bab102aa38ca218782f3658180e45f52f1f763ab3060b70b5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-05T16:41:59Z",
    "title_canon_sha256": "c5ece30a5f76ab10e9b102150de18da94e8fe0db7c3719a0a5b100c55cfb0704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01635",
    "kind": "arxiv",
    "version": 1
  }
}