Pith Number

pith:RGRANJS4

pith:2015:RGRANJS4R6K6ZIVNR2P6C2VE4K

not attested not anchored not stored refs pending

The Fourier Transform of Poisson Multinomial Distributions and its Algorithmic Applications

Alistair Stewart, Daniel M. Kane, Ilias Diakonikolas

arxiv:1511.03592 v2 · 2015-11-11 · cs.DS · cs.GT · cs.LG · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RGRANJS4R6K6ZIVNR2P6C2VE4K}

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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	2026-05-18T01:12:01.638577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89a206a65c8f95eca2ad8e9fe16aa4e28cd7afb0666d1d5ba779bec280e33e46

Aliases

arxiv: 1511.03592 · arxiv_version: 1511.03592v2 · doi: 10.48550/arxiv.1511.03592 · pith_short_12: RGRANJS4R6K6 · pith_short_16: RGRANJS4R6K6ZIVN · pith_short_8: RGRANJS4

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/RGRANJS4R6K6ZIVNR2P6C2VE4K \
  | 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: 89a206a65c8f95eca2ad8e9fe16aa4e28cd7afb0666d1d5ba779bec280e33e46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e31a6b61e676bd6ef75ce0a1e958e0aa2ea37ca5bb888a62fd237c54e1fe3ab1",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.LG",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-11-11T18:00:37Z",
    "title_canon_sha256": "6d311ecf26c07deb8f15d7379e6cc86a151a0366e4a9fad72686cbd68f99ffce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03592",
    "kind": "arxiv",
    "version": 2
  }
}