Pith Number

pith:HSRS3F3H

pith:2019:HSRS3F3HTTKDZZAGW4I4XLM62K

not attested not anchored not stored refs pending

On the Polarization of R\'{e}nyi Entropy

Cong Ling, Ling Liu, Mengfan Zheng

arxiv:1907.06423 v1 · 2019-07-15 · 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{HSRS3F3HTTKDZZAGW4I4XLM62K}

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	2026-05-17T23:40:37.702910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ca32d97679cd43ce406b711cbad9ed29b887a6c5a23fe2994e18dab7bb4c0ce

Aliases

arxiv: 1907.06423 · arxiv_version: 1907.06423v1 · doi: 10.48550/arxiv.1907.06423 · pith_short_12: HSRS3F3HTTKD · pith_short_16: HSRS3F3HTTKDZZAG · pith_short_8: HSRS3F3H

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/HSRS3F3HTTKDZZAGW4I4XLM62K \
  | 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: 3ca32d97679cd43ce406b711cbad9ed29b887a6c5a23fe2994e18dab7bb4c0ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6395f10ce1b6f8b927071fb80970dd45aff108751da2b01aaf69dc6bc648d6e0",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-07-15T10:43:18Z",
    "title_canon_sha256": "654635aa6edfd624455932bc65427b76b95aee70991df69ebdfa0bc67ecde452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06423",
    "kind": "arxiv",
    "version": 1
  }
}