Pith Number

pith:VCOKRJ3U

pith:2024:VCOKRJ3UYZP2JFYW3KOG37VCTO

not attested not anchored not stored refs pending

Quenched local limit theorem for random conductance models with long-range jumps

Jian Wang, Takashi Kumagai, Xin Chen

arxiv:2402.07212 v2 · 2024-02-11 · 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{VCOKRJ3UYZP2JFYW3KOG37VCTO}

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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	2026-07-05T08:06:12.568645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89ca8a774c65fa49716da9c6dfea29bbaa6abbcd1b67b9dc721196e22507979

Aliases

arxiv: 2402.07212 · arxiv_version: 2402.07212v2 · doi: 10.48550/arxiv.2402.07212 · pith_short_12: VCOKRJ3UYZP2 · pith_short_16: VCOKRJ3UYZP2JFYW · pith_short_8: VCOKRJ3U

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/VCOKRJ3UYZP2JFYW3KOG37VCTO \
  | 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: a89ca8a774c65fa49716da9c6dfea29bbaa6abbcd1b67b9dc721196e22507979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5587a0e55e04d8de25ef9b5969fd99d68afd74f8a8db6d51381f5968f720e2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-02-11T14:11:29Z",
    "title_canon_sha256": "1819c19f59a276ac6752baaff28a0be83e55448681d224c741bd52e3a66b7ecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.07212",
    "kind": "arxiv",
    "version": 2
  }
}