Pith Number

pith:V67VSKK7

pith:2024:V67VSKK7U6HLHFBHILQ7TGDIR7

not attested not anchored not stored refs pending

Local limits of random spanning trees in random environment

Luca Makowiec

arxiv:2410.16836 v4 · 2024-10-22 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V67VSKK7U6HLHFBHILQ7TGDIR7}

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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 spanning trees in random environment

Receipt and verification

First computed	2026-05-20T00:02:47.219524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afbf59295fa78eb3942742e1f998688fff383088b3b30d5bfa41050986f2eb4e

Aliases

arxiv: 2410.16836 · arxiv_version: 2410.16836v4 · doi: 10.48550/arxiv.2410.16836 · pith_short_12: V67VSKK7U6HL · pith_short_16: V67VSKK7U6HLHFBH · pith_short_8: V67VSKK7

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/V67VSKK7U6HLHFBHILQ7TGDIR7 \
  | 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: afbf59295fa78eb3942742e1f998688fff383088b3b30d5bfa41050986f2eb4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b81507746d0bd69463f9b4f35f06185a2fca2919036f0c050249c192e73a741f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-10-22T09:15:01Z",
    "title_canon_sha256": "5ae7c085cb58d9a019ad1e78f254e26ea78f5e2caa5f0eef7afd99b29c7f80f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.16836",
    "kind": "arxiv",
    "version": 4
  }
}