Pith Number

pith:G7LIP34V

pith:2016:G7LIP34VLIHHVSBZLLW6HLN5V5

not attested not anchored not stored refs pending

Absolute Continuity and Weak Uniform Mixing of Random Walk in Dynamic Random Environment

Florian V\"ollering, Stein Andreas Bethuelsen

arxiv:1601.07710 v2 · 2016-01-28 · 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{G7LIP34VLIHHVSBZLLW6HLN5V5}

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	2026-05-18T01:03:11.968109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37d687ef955a0e7ac8395aede3adbdaf416768e2d1c6def2e55cb9a87af7ce65

Aliases

arxiv: 1601.07710 · arxiv_version: 1601.07710v2 · doi: 10.48550/arxiv.1601.07710 · pith_short_12: G7LIP34VLIHH · pith_short_16: G7LIP34VLIHHVSBZ · pith_short_8: G7LIP34V

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/G7LIP34VLIHHVSBZLLW6HLN5V5 \
  | 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: 37d687ef955a0e7ac8395aede3adbdaf416768e2d1c6def2e55cb9a87af7ce65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e99d9ff9386320d3b514a89b60c40dac04f5a516bd2223be3ca0c49dc5cf0b8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-28T09:59:03Z",
    "title_canon_sha256": "6936daa630d2cd0fe34d6a3385419adebfce1064bbb0fd1900c87458f9a0b5ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07710",
    "kind": "arxiv",
    "version": 2
  }
}