Pith Number

pith:YZ2HS3S2

pith:2021:YZ2HS3S26SK7J4U2K6X4GJCK35

not attested not anchored not stored refs pending

Estimating the variance of Shannon entropy

Alessio Perinelli, Leonardo Ricci, Michele Castelluzzo

arxiv:2105.12829 v2 · 2021-04-29 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YZ2HS3S26SK7J4U2K6X4GJCK35}

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	2026-07-05T03:10:32.716496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c674796e5af495f4f29a57afc3244adf5434b394b6a5eb9d39e55ca31407c02f

Aliases

arxiv: 2105.12829 · arxiv_version: 2105.12829v2 · doi: 10.48550/arxiv.2105.12829 · pith_short_12: YZ2HS3S26SK7 · pith_short_16: YZ2HS3S26SK7J4U2 · pith_short_8: YZ2HS3S2

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/YZ2HS3S26SK7J4U2K6X4GJCK35 \
  | 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: c674796e5af495f4f29a57afc3244adf5434b394b6a5eb9d39e55ca31407c02f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "590a2680d5aab2b73698a07290575f36a67a678282829f08c548ef7d84dd70d8",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-04-29T09:32:18Z",
    "title_canon_sha256": "90cc1cce2efe44c431f578859b9a3bbdf68faf89430f93bf9a4763179d5e9bfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.12829",
    "kind": "arxiv",
    "version": 2
  }
}