Pith Number

pith:KINPIT3N

pith:2015:KINPIT3NQ26H5X5T3OVQLBWN5L

not attested not anchored not stored refs pending

Monotonic rearrangements of functions with small mean oscillation

Dmitriy M. Stolyarov, Pavel B. Zatitskiy, Vasily I. Vasyunin

arxiv:1506.00502 v1 · 2015-06-01 · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KINPIT3NQ26H5X5T3OVQLBWN5L}

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	2026-05-18T01:17:37.495810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

521af44f6d86bc7edfb3dbab0586cdeae4156b91287c1e3bd33396ae5f468672

Aliases

arxiv: 1506.00502 · arxiv_version: 1506.00502v1 · doi: 10.48550/arxiv.1506.00502 · pith_short_12: KINPIT3NQ26H · pith_short_16: KINPIT3NQ26H5X5T · pith_short_8: KINPIT3N

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/KINPIT3NQ26H5X5T3OVQLBWN5L \
  | 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: 521af44f6d86bc7edfb3dbab0586cdeae4156b91287c1e3bd33396ae5f468672

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90155d5e53bc08648d258b3f49b65e00bccc4e109964dc91cbb6cd7b67337872",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-06-01T14:20:45Z",
    "title_canon_sha256": "500e0c30aa6d47abae99238a8bc65d17a917a8c0e3eb96c829a95fa526b02a17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00502",
    "kind": "arxiv",
    "version": 1
  }
}