Pith Number

pith:IRRL7FDC

pith:2023:IRRL7FDC34NKV4P6UTUPJXNKKO

not attested not anchored not stored refs pending

Characterizations of amenability through stochastic domination and finitary codings

Gourab Ray, Yinon Spinka

arxiv:2304.13784 v1 · 2023-04-26 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRRL7FDC34NKV4P6UTUPJXNKKO}

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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.

Cited by

1 paper in Pith

Finitary codings and stochastic domination for Poisson representable processes

Receipt and verification

First computed	2026-07-05T06:04:57.188543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4462bf9462df1aaaf1fea4e8f4ddaa53aead5078440f7eb7e35c02818eb7802f

Aliases

arxiv: 2304.13784 · arxiv_version: 2304.13784v1 · doi: 10.48550/arxiv.2304.13784 · pith_short_12: IRRL7FDC34NK · pith_short_16: IRRL7FDC34NKV4P6 · pith_short_8: IRRL7FDC

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/IRRL7FDC34NKV4P6UTUPJXNKKO \
  | 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: 4462bf9462df1aaaf1fea4e8f4ddaa53aead5078440f7eb7e35c02818eb7802f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9359141a1f1e07eed30599e14a490b2aec5065174f35204872b334dacc785c14",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-04-26T19:04:47Z",
    "title_canon_sha256": "4241f23af26a4e6c4e8eb17df302135c9f8ab0ee95275e75c1df67b9453ca477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.13784",
    "kind": "arxiv",
    "version": 1
  }
}