Pith Number

pith:ZRQD5EMB

pith:2016:ZRQD5EMBQAZS5H6TNJZKKBPAS3

not attested not anchored not stored refs pending

Analysis of Remaining Uncertainties and Exponents under Various Conditional R\'{e}nyi Entropies

Masahito Hayashi, Vincent Y. F. Tan

arxiv:1605.09551 v1 · 2016-05-31 · cs.IT · cs.CR · 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{ZRQD5EMBQAZS5H6TNJZKKBPAS3}

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	2026-05-18T01:13:10.642459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc603e918180332e9fd36a72a505e096dc05695dc4015b19e6b0cb0adbfe574e

Aliases

arxiv: 1605.09551 · arxiv_version: 1605.09551v1 · doi: 10.48550/arxiv.1605.09551 · pith_short_12: ZRQD5EMBQAZS · pith_short_16: ZRQD5EMBQAZS5H6T · pith_short_8: ZRQD5EMB

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/ZRQD5EMBQAZS5H6TNJZKKBPAS3 \
  | 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: cc603e918180332e9fd36a72a505e096dc05695dc4015b19e6b0cb0adbfe574e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f319750c9d8ee94664d2135bbcc34942ae2327ec087769633d695fdb64f6003",
    "cross_cats_sorted": [
      "cs.CR",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-05-31T10:01:17Z",
    "title_canon_sha256": "32371d9ba6071d52a3cb76f844ab5be9c00b9b3008ab4a83ad4aff3cf77524d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09551",
    "kind": "arxiv",
    "version": 1
  }
}