Pith Number

pith:X5E2Y2FR

pith:2014:X5E2Y2FRYNMHA7XMGZPI4TW6A5

not attested not anchored not stored refs pending

A Quenched Functional Central Limit Theorem for Random Walks in Random Environments under $(T)_\gamma$

Christophe Sabot (ICJ), Elodie Bouchet (ICJ), Renato Soares Dos Santos (WIAS)

arxiv:1409.5528 v1 · 2014-09-19 · 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{X5E2Y2FRYNMHA7XMGZPI4TW6A5}

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	2026-05-18T02:42:27.183682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf49ac68b1c358707eec365e8e4ede076a3ab38441fa9077a600e1ea6d1536c4

Aliases

arxiv: 1409.5528 · arxiv_version: 1409.5528v1 · doi: 10.48550/arxiv.1409.5528 · pith_short_12: X5E2Y2FRYNMH · pith_short_16: X5E2Y2FRYNMHA7XM · pith_short_8: X5E2Y2FR

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/X5E2Y2FRYNMHA7XMGZPI4TW6A5 \
  | 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: bf49ac68b1c358707eec365e8e4ede076a3ab38441fa9077a600e1ea6d1536c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1774d9526f91d93d635b0d8cfd4899b9f2029d34215a7aac5a3572c2763ebd30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-19T06:20:31Z",
    "title_canon_sha256": "f95405d919cc2a8a3be9b6b87495cde76d4838f3650606b83903cb911983f411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5528",
    "kind": "arxiv",
    "version": 1
  }
}