Pith Number

pith:6RMRCIL6

pith:2011:6RMRCIL657S4NCTCYOF5AXQMEW

not attested not anchored not stored refs pending

A quantitative central limit theorem for the random walk among random conductances

Jean-Christophe Mourrat

arxiv:1105.4485 v1 · 2011-05-23 · 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{6RMRCIL657S4NCTCYOF5AXQMEW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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	2026-05-18T04:21:29.204738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f45911217eefe5c68a62c38bd05e0c25bb0c2c5b4ba4b5921695ee5e7e3b470a

Aliases

arxiv: 1105.4485 · arxiv_version: 1105.4485v1 · doi: 10.48550/arxiv.1105.4485 · pith_short_12: 6RMRCIL657S4 · pith_short_16: 6RMRCIL657S4NCTC · pith_short_8: 6RMRCIL6

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/6RMRCIL657S4NCTCYOF5AXQMEW \
  | 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: f45911217eefe5c68a62c38bd05e0c25bb0c2c5b4ba4b5921695ee5e7e3b470a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12cae19d2a67f9da89a6a8a69dd5210334aefd46da737be0c55b4e1c27657331",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-23T12:57:48Z",
    "title_canon_sha256": "7c4002aa6d72dfbe062c3d7fdd75c80c96fa1f6d22dd0922315b7cdc41d62dc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4485",
    "kind": "arxiv",
    "version": 1
  }
}