Pith Number

pith:DEBBC6CQ

pith:2024:DEBBC6CQWSZG7S2JABJOQD6LGK

not attested not anchored not stored refs pending

Entropy Jump and Entropic Central Limit Theorem for Independent Sum

Liuquan Yao, Shuai Yuan

arxiv:2402.08953 v2 · 2024-02-14 · math.PR · 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{DEBBC6CQWSZG7S2JABJOQD6LGK}

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	2026-07-05T07:48:03.654822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1902117850b4b26fcb490052e80fcb32b1f890deab00bbb9a37d5bf6a11fbaa6

Aliases

arxiv: 2402.08953 · arxiv_version: 2402.08953v2 · doi: 10.48550/arxiv.2402.08953 · pith_short_12: DEBBC6CQWSZG · pith_short_16: DEBBC6CQWSZG7S2J · pith_short_8: DEBBC6CQ

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/DEBBC6CQWSZG7S2JABJOQD6LGK \
  | 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: 1902117850b4b26fcb490052e80fcb32b1f890deab00bbb9a37d5bf6a11fbaa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e954f09c5a4756ba416d8272c5238e9ae23b9e8aefb07e2df495ed542742c85a",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-02-14T05:47:42Z",
    "title_canon_sha256": "00effdf5194a36bb1c728089f8a44ec16c2348cc1cc89a36e0fb060729945d32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.08953",
    "kind": "arxiv",
    "version": 2
  }
}