Pith Number

pith:MPH7K2HV

pith:2024:MPH7K2HVFPST2YZXPRIWAPLGFS

not attested not anchored not stored refs pending

Filtering and Statistical Properties of Unimodal Maps Perturbed by Heteroscedastic Noises

Fabrizio Lillo, Matteo Tanzi, Sandro Vaienti, Stefano Marmi

arxiv:2411.13939 v3 · 2024-11-21 · math.ST · math.DS · math.PR · 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{MPH7K2HVFPST2YZXPRIWAPLGFS}

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	2026-06-04T01:09:37.059225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63cff568f52be53d63377c51603d662cb5855801c427833af77518bed7eab20e

Aliases

arxiv: 2411.13939 · arxiv_version: 2411.13939v3 · doi: 10.48550/arxiv.2411.13939 · pith_short_12: MPH7K2HVFPST · pith_short_16: MPH7K2HVFPST2YZX · pith_short_8: MPH7K2HV

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/MPH7K2HVFPST2YZXPRIWAPLGFS \
  | 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: 63cff568f52be53d63377c51603d662cb5855801c427833af77518bed7eab20e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "429f992f4783395b91a15749f31a534508fa4018354c52ccb37a934bc5c0d5c6",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-11-21T08:45:15Z",
    "title_canon_sha256": "d7cc5f346c534992c3663ab04d526c98ed1494e81f154aa21f7c8178b6f73ec5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13939",
    "kind": "arxiv",
    "version": 3
  }
}