Pith Number

pith:VLIAMQKW

pith:2014:VLIAMQKWTBPYTXUJFPCXG6YDMO

not attested not anchored not stored refs pending

On Multivariate Strong Renewal Theorem

Zhiyi Chi

arxiv:1412.2026 v3 · 2014-12-05 · 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{VLIAMQKWTBPYTXUJFPCXG6YDMO}

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	2026-05-18T00:48:43.380284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aad0064156985f89de892bc5737b0363a931fbe5965e60bd626656137605a570

Aliases

arxiv: 1412.2026 · arxiv_version: 1412.2026v3 · doi: 10.48550/arxiv.1412.2026 · pith_short_12: VLIAMQKWTBPY · pith_short_16: VLIAMQKWTBPYTXUJ · pith_short_8: VLIAMQKW

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/VLIAMQKWTBPYTXUJFPCXG6YDMO \
  | 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: aad0064156985f89de892bc5737b0363a931fbe5965e60bd626656137605a570

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d33b646ccfe4badec7492b54ef6e1bad036f62f83df68353ccc85fb23549ec48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-05T15:17:58Z",
    "title_canon_sha256": "6e12acdf55f358f3ada0a35c27f236e683128455ed02afa4d8ec203498140c5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2026",
    "kind": "arxiv",
    "version": 3
  }
}