Pith Number

pith:HM6VYQPY

pith:2018:HM6VYQPYEMELZFGW2JPHMJ5C4R

not attested not anchored not stored refs pending

Affine stochastic equation with triangular matrices

Ewa Damek, Jacek Zienkiewicz

arxiv:1806.08985 v1 · 2018-06-23 · 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{HM6VYQPYEMELZFGW2JPHMJ5C4R}

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	2026-05-18T00:12:30.679082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b3d5c41f82308bc94d6d25e7627a2e47d082a73a99c3e1605c661bc7c992c95

Aliases

arxiv: 1806.08985 · arxiv_version: 1806.08985v1 · doi: 10.48550/arxiv.1806.08985 · pith_short_12: HM6VYQPYEMEL · pith_short_16: HM6VYQPYEMELZFGW · pith_short_8: HM6VYQPY

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/HM6VYQPYEMELZFGW2JPHMJ5C4R \
  | 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: 3b3d5c41f82308bc94d6d25e7627a2e47d082a73a99c3e1605c661bc7c992c95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94f3fa02788a8fc73999cb719bf1141714da4a07ee492585ddc039ddf950daf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-23T15:36:06Z",
    "title_canon_sha256": "9e7bc0720ee153681a25162941b6c64fd324a131a3aa76369e40cb3c4f13d339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08985",
    "kind": "arxiv",
    "version": 1
  }
}