Pith Number

pith:OY2AXFJW

pith:2012:OY2AXFJW53GVJSYAKBB7KXJ65I

not attested not anchored not stored refs pending

Diffusivity and Ballistic Behavior of Random Walk in Random Environment

Xiaoqin Guo

arxiv:1210.1723 v1 · 2012-10-05 · 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{OY2AXFJW53GVJSYAKBB7KXJ65I}

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	2026-05-18T03:43:53.497820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76340b9536eecd54cb005043f55d3eea2e841e50cf990b0fd726332c287066d3

Aliases

arxiv: 1210.1723 · arxiv_version: 1210.1723v1 · doi: 10.48550/arxiv.1210.1723 · pith_short_12: OY2AXFJW53GV · pith_short_16: OY2AXFJW53GVJSYA · pith_short_8: OY2AXFJW

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/OY2AXFJW53GVJSYAKBB7KXJ65I \
  | 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: 76340b9536eecd54cb005043f55d3eea2e841e50cf990b0fd726332c287066d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c035af4498519014b192520bb9fcdd6bacb330b551f1411261d1c349d82a74cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-05T11:55:14Z",
    "title_canon_sha256": "a5229d4cab6040c1a5a54e1ae09586c2b6c83d32bed5b3938d0652a96cb886c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1723",
    "kind": "arxiv",
    "version": 1
  }
}