Pith Number

pith:X5VQLHDD

pith:2023:X5VQLHDDXQTADP5C63KS5UR3XY

not attested not anchored not stored refs pending

Ergodic Estimations for Toeplitz Sequences Generated by a Symbol

Giovanni Barbarino

arxiv:2308.07281 v4 · 2023-08-14 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5VQLHDDXQTADP5C63KS5UR3XY}

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	2026-07-05T10:34:36.798460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf6b059c63bc2601bfa2f6d52ed23bbe056d5f029b6c44e28ca794086ed648fd

Aliases

arxiv: 2308.07281 · arxiv_version: 2308.07281v4 · doi: 10.48550/arxiv.2308.07281 · pith_short_12: X5VQLHDDXQTA · pith_short_16: X5VQLHDDXQTADP5C · pith_short_8: X5VQLHDD

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/X5VQLHDDXQTADP5C63KS5UR3XY \
  | 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: bf6b059c63bc2601bfa2f6d52ed23bbe056d5f029b6c44e28ca794086ed648fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "befa414ebab1579a1f10fa0dc1975e9afcb8f34488cf7d30e1146ab7d21b31db",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-08-14T17:12:37Z",
    "title_canon_sha256": "3bbc2738948e61e8f50f15dc513b6072b68c3c88157c1dc36468d65d54326d7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.07281",
    "kind": "arxiv",
    "version": 4
  }
}