Pith Number

pith:JSPBQAFI

pith:2013:JSPBQAFICJY7D2KCMMZA6ZMERH

not attested not anchored not stored refs pending

Discretizing Distributions with Exact Moments: Error Estimate and Convergence Analysis

Alexis Akira Toda, Ken'ichiro Tanaka

arxiv:1308.3753 v3 · 2013-08-17 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSPBQAFICJY7D2KCMMZA6ZMERH}

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	2026-06-04T14:08:41.164896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c9e1800a81271f1e94263320f658489f828dacb28e17fc2be3a90708405070e

Aliases

arxiv: 1308.3753 · arxiv_version: 1308.3753v3 · doi: 10.48550/arxiv.1308.3753 · pith_short_12: JSPBQAFICJY7 · pith_short_16: JSPBQAFICJY7D2KC · pith_short_8: JSPBQAFI

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/JSPBQAFICJY7D2KCMMZA6ZMERH \
  | 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: 4c9e1800a81271f1e94263320f658489f828dacb28e17fc2be3a90708405070e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "130b39514a7762c1eaa91bc1c8700db724c570ded257a49467801623b454e004",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-08-17T04:36:37Z",
    "title_canon_sha256": "a21be4a0952f5b8f842a9a45eb82cb2046e042397e1c646a68bdf16bda1da429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3753",
    "kind": "arxiv",
    "version": 3
  }
}