Pith Number

pith:Q2D4S25E

pith:2026:Q2D4S25EQHLG6H3NP4YUJY2IRI

not attested not anchored not stored refs pending

A Poincar\'e Inequality and Exponential Decay for the Elephant Random Walk

Cristian Favio Coletti, Ioannis Papageorgiou, Rafael de Mattos Grisi

arxiv:2606.08884 v1 · 2026-06-07 · 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{Q2D4S25EQHLG6H3NP4YUJY2IRI}

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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	2026-06-09T02:07:45.280324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8687c96ba481d66f1f6d7f3144e3488a18ac5cc67b0beb133505437d9d282818

Aliases

arxiv: 2606.08884 · arxiv_version: 2606.08884v1 · doi: 10.48550/arxiv.2606.08884 · pith_short_12: Q2D4S25EQHLG · pith_short_16: Q2D4S25EQHLG6H3N · pith_short_8: Q2D4S25E

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/Q2D4S25EQHLG6H3NP4YUJY2IRI \
  | 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: 8687c96ba481d66f1f6d7f3144e3488a18ac5cc67b0beb133505437d9d282818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "487cbed5a76eb8e9c4d19768762b366a05099b0e8ab72fb9f193d0ce65210ef1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-07T23:56:13Z",
    "title_canon_sha256": "fae9c0c6330fc82c6d72d9b88c5a8dc9af49d1bd57b8e035b9ce605b4c7ce7db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08884",
    "kind": "arxiv",
    "version": 1
  }
}