Pith Number

pith:ES4E7U4H

pith:2017:ES4E7U4HVV6CZY6QRP6ZKJ5WMS

not attested not anchored not stored refs pending

Sharp Continuity Bounds for Entropy and Conditional Entropy

Ismail Nikoufar, Shaoming Fei, Zhihao Ma, Zhihua Chen

arxiv:1701.02398 v1 · 2017-01-10 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ES4E7U4HVV6CZY6QRP6ZKJ5WMS}

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	2026-05-18T00:53:04.333565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24b84fd387ad7c2ce3d08bfd9527b66482da6eb5636bbe86db3105d367ddeed7

Aliases

arxiv: 1701.02398 · arxiv_version: 1701.02398v1 · doi: 10.48550/arxiv.1701.02398 · pith_short_12: ES4E7U4HVV6C · pith_short_16: ES4E7U4HVV6CZY6Q · pith_short_8: ES4E7U4H

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/ES4E7U4HVV6CZY6QRP6ZKJ5WMS \
  | 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: 24b84fd387ad7c2ce3d08bfd9527b66482da6eb5636bbe86db3105d367ddeed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76bb4bb693634bb86beac7218f9986133454ed54fbaf396429264b7f197774e6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-01-10T00:47:33Z",
    "title_canon_sha256": "6ba3c4137d4baa90576a46070c41ecca9be95026a0eb61257d13ce6058940277"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02398",
    "kind": "arxiv",
    "version": 1
  }
}