Pith Number

pith:Y4OWS6UF

pith:2021:Y4OWS6UFUDEJFS25VFXYTEGBOV

not attested not anchored not stored refs pending

Contractive inequalities for mixed norm spaces and the Beta function

Adri\'an Llinares, Dragan Vukoti\'c

arxiv:2107.05542 v2 · 2021-07-12 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4OWS6UFUDEJFS25VFXYTEGBOV}

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	2026-07-05T04:50:10.847368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c71d697a85a0c892cb5da96f8990c1756c162a20b59c37785579e41209772cda

Aliases

arxiv: 2107.05542 · arxiv_version: 2107.05542v2 · doi: 10.48550/arxiv.2107.05542 · pith_short_12: Y4OWS6UFUDEJ · pith_short_16: Y4OWS6UFUDEJFS25 · pith_short_8: Y4OWS6UF

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/Y4OWS6UFUDEJFS25VFXYTEGBOV \
  | 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: c71d697a85a0c892cb5da96f8990c1756c162a20b59c37785579e41209772cda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23411962a228bbf3db2f480fd96c10859eb77ee1606f7d89b647aa231e3b1fde",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2021-07-12T16:09:33Z",
    "title_canon_sha256": "46973a4df3c56a3b4474a5f5c563310997785d3934887da37271db205adb509a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.05542",
    "kind": "arxiv",
    "version": 2
  }
}