Pith Number

pith:JXUMVOLP

pith:2013:JXUMVOLPKPRS7V7D6NPGTCI4MQ

not attested not anchored not stored refs pending

On Kakeya-Nikodym averages, $L^p$-norms and lower bounds for nodal sets of eigenfunctions in higher dimensions

Christopher D. Sogge, Matthew D. Blair

arxiv:1301.7468 v1 · 2013-01-30 · math.AP · math.CA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXUMVOLPKPRS7V7D6NPGTCI4MQ}

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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	2026-05-18T03:34:49.438874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4de8cab96f53e32fd7e3f35e69891c641f0d0bc0a29f3d900c61f8ac450322c8

Aliases

arxiv: 1301.7468 · arxiv_version: 1301.7468v1 · doi: 10.48550/arxiv.1301.7468 · pith_short_12: JXUMVOLPKPRS · pith_short_16: JXUMVOLPKPRS7V7D · pith_short_8: JXUMVOLP

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/JXUMVOLPKPRS7V7D6NPGTCI4MQ \
  | 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: 4de8cab96f53e32fd7e3f35e69891c641f0d0bc0a29f3d900c61f8ac450322c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0332724fac067dbf04c8de4f829cf1c5747a259bcec4b7b73e6d99f27bb81ba4",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-30T23:16:01Z",
    "title_canon_sha256": "08db6387d27e9d06d7612f026a71387578766bbf92dc9ea2e277cedd64e90b60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7468",
    "kind": "arxiv",
    "version": 1
  }
}