Pith Number

pith:TZUD6WTK

pith:2014:TZUD6WTKOW346L5YTD5XOQTUSV

not attested not anchored not stored refs pending

Application of moderate deviation techniques to prove Sinai's Theorem on RWRE

Marcelo Ventura Freire

arxiv:1403.7535 v1 · 2014-03-28 · 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{TZUD6WTKOW346L5YTD5XOQTUSV}

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	2026-05-18T02:55:19.151099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e683f5a6a75b7cf2fb898fb7742749573347a747a0382d750d589cc2a761775

Aliases

arxiv: 1403.7535 · arxiv_version: 1403.7535v1 · doi: 10.48550/arxiv.1403.7535 · pith_short_12: TZUD6WTKOW34 · pith_short_16: TZUD6WTKOW346L5Y · pith_short_8: TZUD6WTK

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/TZUD6WTKOW346L5YTD5XOQTUSV \
  | 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: 9e683f5a6a75b7cf2fb898fb7742749573347a747a0382d750d589cc2a761775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d20f056373b8c76351c5574a8b60301447e1b107fe474d4e8ef65a226200c68e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-28T20:29:08Z",
    "title_canon_sha256": "55fb4337a7668bf0a664004740241e9cc2897328a858d9e3c0f387c1b885364f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7535",
    "kind": "arxiv",
    "version": 1
  }
}