Pith Number

pith:Y3YGZ4VS

pith:2018:Y3YGZ4VSMD7LEKBKBUQA43H6HL

not attested not anchored not stored refs pending

Independent increment processes: A multilinearity preserving property

Fred Espen Benth, Nils Detering, Paul Kruhner

arxiv:1809.01336 v3 · 2018-09-05 · 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{Y3YGZ4VSMD7LEKBKBUQA43H6HL}

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	2026-07-05T01:20:36.178964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6f06cf2b260feb2282a0d200e6cfe3ac97bdd9670b6f0eb67886d5dd7be9e45

Aliases

arxiv: 1809.01336 · arxiv_version: 1809.01336v3 · doi: 10.48550/arxiv.1809.01336 · pith_short_12: Y3YGZ4VSMD7L · pith_short_16: Y3YGZ4VSMD7LEKBK · pith_short_8: Y3YGZ4VS

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/Y3YGZ4VSMD7LEKBKBUQA43H6HL \
  | 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: c6f06cf2b260feb2282a0d200e6cfe3ac97bdd9670b6f0eb67886d5dd7be9e45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c9e6b79d24aa66f993bbefeab028f2355fdcf9cd959c5433db5f3f8fc3a3a66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-05T05:53:57Z",
    "title_canon_sha256": "5c579e6bb33df2e9644d4a4d60f7f810f1227b798fbe5966e15a6e9d14865908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01336",
    "kind": "arxiv",
    "version": 3
  }
}