Pith Number

pith:FCIWCIZC

pith:2015:FCIWCIZC7U27XCZFIPFQR7CBET

not attested not anchored not stored refs pending

Absolute moments and Fourier-based probability metrics

Yong-Kum Cho

arxiv:1510.08667 v1 · 2015-10-29 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCIWCIZC7U27XCZFIPFQR7CBET}

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	2026-05-18T01:28:27.094452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2891612322fd35fb8b2543cb08fc4124d76bd687eaba5af88df621ac38fbdd32

Aliases

arxiv: 1510.08667 · arxiv_version: 1510.08667v1 · doi: 10.48550/arxiv.1510.08667 · pith_short_12: FCIWCIZC7U27 · pith_short_16: FCIWCIZC7U27XCZF · pith_short_8: FCIWCIZC

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/FCIWCIZC7U27XCZFIPFQR7CBET \
  | 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: 2891612322fd35fb8b2543cb08fc4124d76bd687eaba5af88df621ac38fbdd32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "122bf410e8eebe77cabd729dbe9ec061e8b695061cf6cfec3ee0249547d1b028",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-29T12:33:27Z",
    "title_canon_sha256": "211d6da52eb69bef51db2e66ec701d48d37330e7762681545b93c99921bc49d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08667",
    "kind": "arxiv",
    "version": 1
  }
}