Pith Number

pith:FXXFYAFC

pith:2024:FXXFYAFCAP5XGRA342VOYWIUDT

not attested not anchored not stored refs pending

On the local convergence of integer-valued Lipschitz functions on regular trees

Gourab Ray, Kesav Krishnan, Nathaniel Butler, Yinon Spinka

arxiv:2410.05542 v1 · 2024-10-07 · math.PR · math-ph · math.CO · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXXFYAFCAP5XGRA342VOYWIUDT}

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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

Random homomorphisms and Lipschitz functions on trees

Receipt and verification

First computed	2026-07-05T09:17:20.843874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dee5c00a203fb73441be6aaec59141cde6d9ac54dc18b324bee8930f7a36b84

Aliases

arxiv: 2410.05542 · arxiv_version: 2410.05542v1 · doi: 10.48550/arxiv.2410.05542 · pith_short_12: FXXFYAFCAP5X · pith_short_16: FXXFYAFCAP5XGRA3 · pith_short_8: FXXFYAFC

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/FXXFYAFCAP5XGRA342VOYWIUDT \
  | 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: 2dee5c00a203fb73441be6aaec59141cde6d9ac54dc18b324bee8930f7a36b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5865bbf29dd7897974696f91a16eff36b1889457b9ca3eab184d11c538497f56",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-10-07T22:58:50Z",
    "title_canon_sha256": "776132f7411d334bf39fb71873f5b0e9ccaea3f7552ac7237954ac2c8a245a0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.05542",
    "kind": "arxiv",
    "version": 1
  }
}