Pith Number

pith:B3KKTHF5

pith:2014:B3KKTHF53MIEARWJXWTBCYS4CV

not attested not anchored not stored refs pending

Sharp estimates of integral functionals on classes of functions with small mean oscillation

Dmitriy M. Stolyarov, Nikolay N. Osipov, Paata Ivanisvili, Pavel B. Zatitskiy, Vasily I. Vasyunin

arxiv:1412.4749 v1 · 2014-12-15 · math.CA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3KKTHF53MIEARWJXWTBCYS4CV}

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	2026-05-18T01:17:37.716028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ed4a99cbddb104046c9bda611625c15785af75586dbed116b974b7953b60f23

Aliases

arxiv: 1412.4749 · arxiv_version: 1412.4749v1 · doi: 10.48550/arxiv.1412.4749 · pith_short_12: B3KKTHF53MIE · pith_short_16: B3KKTHF53MIEARWJ · pith_short_8: B3KKTHF5

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/B3KKTHF53MIEARWJXWTBCYS4CV \
  | 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: 0ed4a99cbddb104046c9bda611625c15785af75586dbed116b974b7953b60f23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d0f7d53fa235c28c153faa3c21fe29c1d6d93547e39dc2189d5c6e9ff1db181",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-12-15T20:17:17Z",
    "title_canon_sha256": "bcaace74cb090a45e3b528efc8ac274e92d5d69283aa3b9fdd2ae978e5c60083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4749",
    "kind": "arxiv",
    "version": 1
  }
}