Pith Number

pith:W2PUENB4

pith:2017:W2PUENB4SNGLIEODQUMDX54KFD

not attested not anchored not stored refs pending

Bernstein type inequality in the shift-invariant spaces

A. Ligun, S. Spektor, V. Babenko

arxiv:1708.08116 v1 · 2017-08-27 · 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{W2PUENB4SNGLIEODQUMDX54KFD}

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	2026-05-18T00:36:36.962682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b69f42343c934cb411c385183bf78a28c4d688d8c43ec529a4da24578ac92dad

Aliases

arxiv: 1708.08116 · arxiv_version: 1708.08116v1 · doi: 10.48550/arxiv.1708.08116 · pith_short_12: W2PUENB4SNGL · pith_short_16: W2PUENB4SNGLIEOD · pith_short_8: W2PUENB4

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/W2PUENB4SNGLIEODQUMDX54KFD \
  | 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: b69f42343c934cb411c385183bf78a28c4d688d8c43ec529a4da24578ac92dad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27e06c8d272ccde54e8939a4081ef08ff94cdd76bce8f918b5c41e22686e753e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-27T17:33:03Z",
    "title_canon_sha256": "c9dd555b851cee0c5c9bad593c184f83d9568be5a8c35250b02cb72bf86ef1b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08116",
    "kind": "arxiv",
    "version": 1
  }
}