Pith Number

pith:NSQ2MRQS

pith:2013:NSQ2MRQSF5JTABMUQS4KCIBHTL

not attested not anchored not stored refs pending

On dependence between the norm of a function and norms of its derivatives of orders k, r - 2 and r, 0 < k < r - 2

Oleg Kovalenko, Vladyslav Babenko

arxiv:1309.6555 v1 · 2013-09-25 · 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{NSQ2MRQSF5JTABMUQS4KCIBHTL}

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	2026-05-18T03:12:20.691413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ca1a646122f5330059484b8a120279ad89cb49699887503bdef0e0d5f878fe2

Aliases

arxiv: 1309.6555 · arxiv_version: 1309.6555v1 · doi: 10.48550/arxiv.1309.6555 · pith_short_12: NSQ2MRQSF5JT · pith_short_16: NSQ2MRQSF5JTABMU · pith_short_8: NSQ2MRQS

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/NSQ2MRQSF5JTABMUQS4KCIBHTL \
  | 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: 6ca1a646122f5330059484b8a120279ad89cb49699887503bdef0e0d5f878fe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81f4c52c557f853a07dbbffcbbc0d1169091cb8f33b600070c6aaeb2482ca7a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-25T16:09:51Z",
    "title_canon_sha256": "b1aa887117a7a53b0801b9562d9b58aea1483c2bd51b2d662c2a41bb56c9d721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6555",
    "kind": "arxiv",
    "version": 1
  }
}