Pith Number

pith:B3U2E7K6

pith:2012:B3U2E7K6XBRHO2BXP7EOBYLFZU

not attested not anchored not stored refs pending

Analytical Bounds between Entropy and Error Probability in Binary Classifications

Bao-Gang Hu, Hong-Jie Xing

arxiv:1205.6602 v1 · 2012-05-30 · 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{B3U2E7K6XBRHO2BXP7EOBYLFZU}

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	2026-05-18T03:54:38.451967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ee9a27d5eb8627768377fc8e0e165cd2e485d1f0f9ba2a1bad74b6f1f894144

Aliases

arxiv: 1205.6602 · arxiv_version: 1205.6602v1 · doi: 10.48550/arxiv.1205.6602 · pith_short_12: B3U2E7K6XBRH · pith_short_16: B3U2E7K6XBRHO2BX · pith_short_8: B3U2E7K6

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/B3U2E7K6XBRHO2BXP7EOBYLFZU \
  | 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: 0ee9a27d5eb8627768377fc8e0e165cd2e485d1f0f9ba2a1bad74b6f1f894144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29529755197115de2a90f8beeb124b132a2873b79a91fab1a46107e3a956aba9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-05-30T09:40:34Z",
    "title_canon_sha256": "af6d70bde167db83daa66ed7256372ed8265c58f9c30e1f86b2c33524e41b6a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6602",
    "kind": "arxiv",
    "version": 1
  }
}