Pith Number

pith:GCHJ3Z6F

pith:2025:GCHJ3Z6FSBDP3JBYFNZ5SM6GYM

not attested not anchored not stored refs pending

On Bernstein inequalities on the unit ball

Tomasz Beberok, Yuan Xu

arxiv:2511.09713 v2 · 2025-11-12 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCHJ3Z6FSBDP3JBYFNZ5SM6GYM}

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	2026-05-25T02:01:09.323201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

308e9de7c59046fda4382b73d933c6c313210183d3864cbd322f97e9355d2fc7

Aliases

arxiv: 2511.09713 · arxiv_version: 2511.09713v2 · doi: 10.48550/arxiv.2511.09713 · pith_short_12: GCHJ3Z6FSBDP · pith_short_16: GCHJ3Z6FSBDP3JBY · pith_short_8: GCHJ3Z6F

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/GCHJ3Z6FSBDP3JBYFNZ5SM6GYM \
  | 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: 308e9de7c59046fda4382b73d933c6c313210183d3864cbd322f97e9355d2fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a753414886835673bd12df8f52bd77307b0ee4b3fb9447f38652f2cb3d5a5a3c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-11-12T20:20:37Z",
    "title_canon_sha256": "f15acfd12f0d85449c3ed18d6ae0bf3eb482a740c58bd2d0d9fe054dd1603c16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.09713",
    "kind": "arxiv",
    "version": 2
  }
}