Pith Number

pith:PVKXOW7I

pith:2011:PVKXOW7IFH2YSPH5VZ6ZHEP6DR

not attested not anchored not stored refs pending

The L_4 norm of Littlewood polynomials derived from the Jacobi symbol

Jonathan Jedwab, Kai-Uwe Schmidt

arxiv:1105.5180 v2 · 2011-05-26 · math.NT · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVKXOW7IFH2YSPH5VZ6ZHEP6DR}

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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	2026-05-18T03:46:03.942851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d55775be829f5893cfdae7d9391fe1c5e31e6d792393f51443b752d7f656fb4

Aliases

arxiv: 1105.5180 · arxiv_version: 1105.5180v2 · doi: 10.48550/arxiv.1105.5180 · pith_short_12: PVKXOW7IFH2Y · pith_short_16: PVKXOW7IFH2YSPH5 · pith_short_8: PVKXOW7I

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/PVKXOW7IFH2YSPH5VZ6ZHEP6DR \
  | 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: 7d55775be829f5893cfdae7d9391fe1c5e31e6d792393f51443b752d7f656fb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a930d53b67e19ac8174f9609ba7914760e5faa8473119795619be69ce951869",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-26T00:55:25Z",
    "title_canon_sha256": "658574771a0e232cd58a9dce1975595cc9a067c370e2009b52c07b6375c5b432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5180",
    "kind": "arxiv",
    "version": 2
  }
}