Pith Number

pith:LER7VZT5

pith:2016:LER7VZT5MJNO3HPPXOZADCM5HK

not attested not anchored not stored refs pending

Local large deviations and the strong renewal theorem

Francesco Caravenna, Ron Doney

arxiv:1612.07635 v3 · 2016-12-22 · 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{LER7VZT5MJNO3HPPXOZADCM5HK}

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	2026-05-17T23:41:47.289454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5923fae67d625aed9defbbb201899d3ab33cb8932983449a310947124c0abc81

Aliases

arxiv: 1612.07635 · arxiv_version: 1612.07635v3 · doi: 10.48550/arxiv.1612.07635 · pith_short_12: LER7VZT5MJNO · pith_short_16: LER7VZT5MJNO3HPP · pith_short_8: LER7VZT5

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/LER7VZT5MJNO3HPPXOZADCM5HK \
  | 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: 5923fae67d625aed9defbbb201899d3ab33cb8932983449a310947124c0abc81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fef74567b350fd0eb9b968eadf55385a4712d60ca77b4de57f26f2bf0895b73e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-22T15:10:27Z",
    "title_canon_sha256": "f9fe7841c6a41f44271d86317767f44cc723466ab9b3353b746ad61a0cf46736"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07635",
    "kind": "arxiv",
    "version": 3
  }
}