Pith Number

pith:UDDRKJJY

pith:2012:UDDRKJJYOSEXTPXMTQIYR6U5HO

not attested not anchored not stored refs pending

Effective Polynomial Ballisticity Condition for Random Walk in Random Environment

Alejandro F. Ram\'irez, Alexander Drewitz, Noam Berger

arxiv:1206.6377 v2 · 2012-06-27 · 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{UDDRKJJYOSEXTPXMTQIYR6U5HO}

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	2026-05-18T03:33:37.728964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0c7152538748979beec9c1188fa9d3bb71f7e53f0c5782f36e6ad06751bb5b0

Aliases

arxiv: 1206.6377 · arxiv_version: 1206.6377v2 · doi: 10.48550/arxiv.1206.6377 · pith_short_12: UDDRKJJYOSEX · pith_short_16: UDDRKJJYOSEXTPXM · pith_short_8: UDDRKJJY

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/UDDRKJJYOSEXTPXMTQIYR6U5HO \
  | 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: a0c7152538748979beec9c1188fa9d3bb71f7e53f0c5782f36e6ad06751bb5b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9834e7f7151379629ef9d9a4a40c03977f18bd5b727f30179f5bc0cc37d59d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-27T19:55:44Z",
    "title_canon_sha256": "0bff2f694c547d0effa6fe13ffe6ddea91187e7d787de13d6f1bc8ce11c28cd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6377",
    "kind": "arxiv",
    "version": 2
  }
}