Pith Number

pith:XFV3NABU

pith:2017:XFV3NABUL3EYDYFGSSBFQL6ZAB

not attested not anchored not stored refs pending

Using Conservative Estimation for Conditional Probability instead of Ignoring Infrequent Case

Eiko Yamamoto, Kyoji Umemura, Masato Kikuchi, Masayuki Okabe, Mitsuo Yoshida

arxiv:1709.08309 v1 · 2017-09-25 · 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{XFV3NABUL3EYDYFGSSBFQL6ZAB}

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	2026-05-18T00:34:25.927117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b96bb680345ec981e0a69482582fd90046962e7fe29cd3460bfcf3bdc03cba34

Aliases

arxiv: 1709.08309 · arxiv_version: 1709.08309v1 · doi: 10.48550/arxiv.1709.08309 · pith_short_12: XFV3NABUL3EY · pith_short_16: XFV3NABUL3EYDYFG · pith_short_8: XFV3NABU

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/XFV3NABUL3EYDYFGSSBFQL6ZAB \
  | 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: b96bb680345ec981e0a69482582fd90046962e7fe29cd3460bfcf3bdc03cba34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa8c0df4f4cf74959a8ac373197a9cb9f00d7b880e0242f68d29f31742d2bcc6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-09-25T04:20:33Z",
    "title_canon_sha256": "fec8728446e095890f4bfc9a6adb9f10071bb26072c6cab6c07532ea0340568c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08309",
    "kind": "arxiv",
    "version": 1
  }
}