Pith Number

pith:4YCNJKBI

pith:2015:4YCNJKBIZ3JJRXDAT4TDGZPDL6

not attested not anchored not stored refs pending

$L^p$-norms and Mahler's measure of polynomials on the $n$-dimensional torus

Andreas Defant, Mieczys{\l}aw Masty{\l}o

arxiv:1508.05556 v1 · 2015-08-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YCNJKBIZ3JJRXDAT4TDGZPDL6}

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	2026-05-18T01:34:52.206920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e604d4a828ced298dc609f263365e35f95df24fe6233ac8b311c717c380a2ac8

Aliases

arxiv: 1508.05556 · arxiv_version: 1508.05556v1 · doi: 10.48550/arxiv.1508.05556 · pith_short_12: 4YCNJKBIZ3JJ · pith_short_16: 4YCNJKBIZ3JJRXDA · pith_short_8: 4YCNJKBI

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/4YCNJKBIZ3JJRXDAT4TDGZPDL6 \
  | 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: e604d4a828ced298dc609f263365e35f95df24fe6233ac8b311c717c380a2ac8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "469f4da5345e5d5812cff512ce380eacc652de7242883e7adde2b0093092770f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-08-23T01:59:15Z",
    "title_canon_sha256": "6f0d0e5ab8971d1b419964068f9fa299fd552a6a7a35baaadaf98207753db793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05556",
    "kind": "arxiv",
    "version": 1
  }
}