Pith Number

pith:FXEALJ3M

pith:2017:FXEALJ3MOLUGFIM3BYH3X6L7DG

not attested not anchored not stored refs pending

Cubature rules and expected value of some complex functions

Claudia Fassino, Eva Riccomagno, Maria-Piera Rogantin

arxiv:1709.08910 v1 · 2017-09-26 · 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{FXEALJ3MOLUGFIM3BYH3X6L7DG}

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	2026-05-18T00:34:21.584085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dc805a76c72e862a19b0e0fbbf97f19afca7ece61dd185009a3b58c87f10677

Aliases

arxiv: 1709.08910 · arxiv_version: 1709.08910v1 · doi: 10.48550/arxiv.1709.08910 · pith_short_12: FXEALJ3MOLUG · pith_short_16: FXEALJ3MOLUGFIM3 · pith_short_8: FXEALJ3M

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/FXEALJ3MOLUGFIM3BYH3X6L7DG \
  | 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: 2dc805a76c72e862a19b0e0fbbf97f19afca7ece61dd185009a3b58c87f10677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15376ef6c11257565f4d6589302957b5125bc21c0fb69b28e2b534210ddc2579",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-26T09:44:01Z",
    "title_canon_sha256": "8fdad93047306795e0cf3b5f046ac2428c7bb40c6b4ac187b334336454d33281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08910",
    "kind": "arxiv",
    "version": 1
  }
}