Pith Number

pith:7GZKPWZA

pith:2014:7GZKPWZA76ZFCKGYYHKR24UBQX

not attested not anchored not stored refs pending

Approximate Local Limit Theorems with Effective Rate and Application to Random Walks in Random Scenery

Michel Weber, Rita Giuliano

arxiv:1412.3980 v1 · 2014-12-12 · 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{7GZKPWZA76ZFCKGYYHKR24UBQX}

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	2026-05-18T00:39:58.705866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9b2a7db20ffb25128d8c1d51d728185e0e461f39d01ca148e26d92752e924a8

Aliases

arxiv: 1412.3980 · arxiv_version: 1412.3980v1 · doi: 10.48550/arxiv.1412.3980 · pith_short_12: 7GZKPWZA76ZF · pith_short_16: 7GZKPWZA76ZFCKGY · pith_short_8: 7GZKPWZA

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/7GZKPWZA76ZFCKGYYHKR24UBQX \
  | 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: f9b2a7db20ffb25128d8c1d51d728185e0e461f39d01ca148e26d92752e924a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae33c11d6f0849f30b7f1a34e3e24139f651745d44fcbaf9ae705dc7b0f92b82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-12T12:57:56Z",
    "title_canon_sha256": "9a14554cf27ec93183a8906555733957883e7ef5696833b50426ab49e21b1da0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3980",
    "kind": "arxiv",
    "version": 1
  }
}