Pith Number

pith:MS5FSVUM

pith:2014:MS5FSVUM3YRQJABWWKZZ5NPWOB

not attested not anchored not stored refs pending

Sharp Estimates for Norms of Functions from Conjugate Classes in Metrics C and L

Vladislav Babenko

arxiv:1402.0829 v1 · 2014-02-04 · 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{MS5FSVUM3YRQJABWWKZZ5NPWOB}

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	2026-05-18T03:00:11.892327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64ba59568cde23048036b2b39eb5f6706fba847f275cce214afa634f31b6a738

Aliases

arxiv: 1402.0829 · arxiv_version: 1402.0829v1 · doi: 10.48550/arxiv.1402.0829 · pith_short_12: MS5FSVUM3YRQ · pith_short_16: MS5FSVUM3YRQJABW · pith_short_8: MS5FSVUM

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/MS5FSVUM3YRQJABWWKZZ5NPWOB \
  | 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: 64ba59568cde23048036b2b39eb5f6706fba847f275cce214afa634f31b6a738

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc337fecd932defd36cf048d90f2a29bb9b80ff439d3d4c610e4173ed8dc82ec",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-02-04T18:51:36Z",
    "title_canon_sha256": "928a92e0561c5f1546ff4f122636434f5109436a79c96751b92105d2376999ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0829",
    "kind": "arxiv",
    "version": 1
  }
}