Pith Number

pith:5T2GJLGQ

pith:2011:5T2GJLGQMIADPMXV2M4H2SQIGK

not attested not anchored not stored refs pending

Limit theorems for random walks in dynamic random environment

Florian V\"ollering, Frank Redig

arxiv:1106.4181 v2 · 2011-06-21 · 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{5T2GJLGQMIADPMXV2M4H2SQIGK}

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	2026-05-18T04:18:52.840673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecf464acd0620037b2f5d3387d4a0832a63eb2914708d97ea2e32c5f35ab844e

Aliases

arxiv: 1106.4181 · arxiv_version: 1106.4181v2 · doi: 10.48550/arxiv.1106.4181 · pith_short_12: 5T2GJLGQMIAD · pith_short_16: 5T2GJLGQMIADPMXV · pith_short_8: 5T2GJLGQ

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/5T2GJLGQMIADPMXV2M4H2SQIGK \
  | 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: ecf464acd0620037b2f5d3387d4a0832a63eb2914708d97ea2e32c5f35ab844e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11449e404ea3c25667c86ef8a6db6f9618fdcd08174fd3d91c12a214eafd357a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-21T12:12:36Z",
    "title_canon_sha256": "0d5caedf19c0c6d58427ad8ea9fc153d435f2c5cc8bb8f93dfee9c876954bb12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4181",
    "kind": "arxiv",
    "version": 2
  }
}