Pith Number

pith:IYERAWIC

pith:2015:IYERAWICXZ5ACIHRSNCA35PCSY

not attested not anchored not stored refs pending

Law of total probability and Bayes' theorem in Riesz spaces

Liang Hong

arxiv:1502.00124 v2 · 2015-01-31 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYERAWICXZ5ACIHRSNCA35PCSY}

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	2026-05-18T00:06:44.183195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4609105902be7a0120f193440df5e2963a20905a6a9676f095d27628d3594713

Aliases

arxiv: 1502.00124 · arxiv_version: 1502.00124v2 · doi: 10.48550/arxiv.1502.00124 · pith_short_12: IYERAWICXZ5A · pith_short_16: IYERAWICXZ5ACIHR · pith_short_8: IYERAWIC

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/IYERAWICXZ5ACIHRSNCA35PCSY \
  | 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: 4609105902be7a0120f193440df5e2963a20905a6a9676f095d27628d3594713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5501bbf46494aede07d7daff78742ee0ec17c4d2581a2009c7e81648737a20a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-31T15:46:39Z",
    "title_canon_sha256": "419a4af221962ca87e2543ac39af42e716cba86b70dbfcf151fe0b42f298b938"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00124",
    "kind": "arxiv",
    "version": 2
  }
}