Pith Number

pith:VLEKFCUZ

pith:2009:VLEKFCUZ3NHJ4KUOAPY2FGWBFC

not attested not anchored not stored refs pending

Differing averaged and quenched large deviations for random walks in random environments in dimensions two and three

Atilla Yilmaz, Ofer Zeitouni

arxiv:0910.1169 v2 · 2009-10-07 · 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{VLEKFCUZ3NHJ4KUOAPY2FGWBFC}

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	2026-05-18T02:11:25.975041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aac8a28a99db4e9e2a8e03f1a29ac12882d93935bd210d2362ab8cd355a04620

Aliases

arxiv: 0910.1169 · arxiv_version: 0910.1169v2 · doi: 10.48550/arxiv.0910.1169 · pith_short_12: VLEKFCUZ3NHJ · pith_short_16: VLEKFCUZ3NHJ4KUO · pith_short_8: VLEKFCUZ

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/VLEKFCUZ3NHJ4KUOAPY2FGWBFC \
  | 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: aac8a28a99db4e9e2a8e03f1a29ac12882d93935bd210d2362ab8cd355a04620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44d517e40d703ae2ad8368737fe3d3d964c28b6cad2aae8cabe4abc263835aec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-07T06:53:47Z",
    "title_canon_sha256": "7a913cba04b73ddd22ef9c39d33a90068f20b8b7afb4c816c52e1b44bc7e575a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1169",
    "kind": "arxiv",
    "version": 2
  }
}