Pith Number

pith:TNXX2V3D

pith:2016:TNXX2V3DGM5JW5ME2UC7SPZ647

not attested not anchored not stored refs pending

A transference result of the L^p continuity of the Jacobi Littlewood-Paley g-function to the Gaussian and Laguerre Littlewood-Paley g-function

Eduard Navas, Wilfredo Urbina

arxiv:1612.05301 v1 · 2016-12-15 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNXX2V3DGM5JW5ME2UC7SPZ647}

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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	2026-05-18T00:54:52.093236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b6f7d5763333a9b7584d505f93f3ee7c0fc8a97f4601f2dec1178e588c1ac3b

Aliases

arxiv: 1612.05301 · arxiv_version: 1612.05301v1 · doi: 10.48550/arxiv.1612.05301 · pith_short_12: TNXX2V3DGM5J · pith_short_16: TNXX2V3DGM5JW5ME · pith_short_8: TNXX2V3D

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/TNXX2V3DGM5JW5ME2UC7SPZ647 \
  | 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: 9b6f7d5763333a9b7584d505f93f3ee7c0fc8a97f4601f2dec1178e588c1ac3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eee5e629b47835ba49d3be2739a1613015c9e74106354f8fc0543be10df33c6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-15T23:03:03Z",
    "title_canon_sha256": "3e00b063bf04a47c72660a34a38dbd55f59c011612273374a98de218eb13368e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05301",
    "kind": "arxiv",
    "version": 1
  }
}