Pith Number

pith:VEPPLO5H

pith:2017:VEPPLO5HQHAVLRLO2JMWQRMVOJ

not attested not anchored not stored refs pending

Inverse Exponential Decay: Stochastic Fixed Point Equation and ARMA Models

Bartosz Ko{\l}odziejek, Krzysztof Burdzy, Tvrtko Tadi\'c

arxiv:1801.00149 v4 · 2017-12-30 · math.PR · math.DS · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VEPPLO5HQHAVLRLO2JMWQRMVOJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:52:18.704576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a91ef5bba781c155c56ed259684595725acb3c8c164a55d8033900ebdc04c353

Aliases

arxiv: 1801.00149 · arxiv_version: 1801.00149v4 · doi: 10.48550/arxiv.1801.00149 · pith_short_12: VEPPLO5HQHAV · pith_short_16: VEPPLO5HQHAVLRLO · pith_short_8: VEPPLO5H

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/VEPPLO5HQHAVLRLO2JMWQRMVOJ \
  | 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: a91ef5bba781c155c56ed259684595725acb3c8c164a55d8033900ebdc04c353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae501d6f6a08fdb70beb53dc10a3d92c3350f83bc3489088f2b932685928c72b",
    "cross_cats_sorted": [
      "math.DS",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-30T16:41:55Z",
    "title_canon_sha256": "1dc46194377299bfa285af288aac8c3e9c95a86e11e0ccc3ed5d06940ee93c93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00149",
    "kind": "arxiv",
    "version": 4
  }
}