Pith Number

pith:4Z52PHHI

pith:2013:4Z52PHHIYYOHLKKWJZ2F2NY3I5

not attested not anchored not stored refs pending

The quenched limiting distributions of a one-dimensional random walk in random scenery

Bruno Schapira (LATP), Nadine Guillotin-Plantard (ICJ), Yueyun Hu (LAGA)

arxiv:1307.2277 v2 · 2013-07-08 · 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{4Z52PHHIYYOHLKKWJZ2F2NY3I5}

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	2026-05-18T03:12:57.461465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e67ba79ce8c61c75a9564e745d371b47742e04e987fe96694803413ba846c6cd

Aliases

arxiv: 1307.2277 · arxiv_version: 1307.2277v2 · doi: 10.48550/arxiv.1307.2277 · pith_short_12: 4Z52PHHIYYOH · pith_short_16: 4Z52PHHIYYOHLKKW · pith_short_8: 4Z52PHHI

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/4Z52PHHIYYOHLKKWJZ2F2NY3I5 \
  | 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: e67ba79ce8c61c75a9564e745d371b47742e04e987fe96694803413ba846c6cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af6594f2d0733ddcc51af950868eb552cf86147aa3be97b5403d78decf645ef6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-08T21:24:47Z",
    "title_canon_sha256": "14461d6ea06352ecb9177d57eb49b37330530c60232e8ad207492ca2a4faa500"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2277",
    "kind": "arxiv",
    "version": 2
  }
}