Pith Number

pith:Q3MPO4SS

pith:2017:Q3MPO4SSC2VVZX2HMBJB7HDTLE

not attested not anchored not stored refs pending

On monotonicity of some functionals with variable exponent under symmetrization

A. I. Nazarov, S. Bankevich

arxiv:1711.05841 v1 · 2017-11-15 · math.OC · 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{Q3MPO4SSC2VVZX2HMBJB7HDTLE}

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	2026-05-18T00:30:23.982571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d8f7725216ab5cdf4760521f9c73592f82f96dae7f7112ff06214e7445ff5c

Aliases

arxiv: 1711.05841 · arxiv_version: 1711.05841v1 · doi: 10.48550/arxiv.1711.05841 · pith_short_12: Q3MPO4SSC2VV · pith_short_16: Q3MPO4SSC2VVZX2H · pith_short_8: Q3MPO4SS

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/Q3MPO4SSC2VVZX2HMBJB7HDTLE \
  | 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: 86d8f7725216ab5cdf4760521f9c73592f82f96dae7f7112ff06214e7445ff5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62892db42e9b94290ca3d6392c9796a87224aac2a18cc9dfe4d86e462dd330be",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-11-15T23:02:11Z",
    "title_canon_sha256": "cdf8bc8e202efe167eec5d2bb0f8c5c80fd4c81173e2dfb19fe485d43bcb6a9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05841",
    "kind": "arxiv",
    "version": 1
  }
}