Pith Number

pith:4HQIIPRV

pith:2026:4HQIIPRVMFKQFYNYFEAII7NSEZ

not attested not anchored not stored refs pending

Multi-time Markov renewal chains and stratified renewal theorems

Leonidas Kordalis, Samis Trevezas

arxiv:2607.07283 v1 · 2026-07-08 · 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{4HQIIPRVMFKQFYNYFEAII7NSEZ}

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	2026-07-09T01:20:19.856927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1e0843e35615502e1b82900847db2266754fa6603398e190bd45af0ad24e2d3

Aliases

arxiv: 2607.07283 · arxiv_version: 2607.07283v1 · doi: 10.48550/arxiv.2607.07283 · pith_short_12: 4HQIIPRVMFKQ · pith_short_16: 4HQIIPRVMFKQFYNY · pith_short_8: 4HQIIPRV

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/4HQIIPRVMFKQFYNYFEAII7NSEZ \
  | 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: e1e0843e35615502e1b82900847db2266754fa6603398e190bd45af0ad24e2d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1a70d1efb5484755aa9d753b84e0e8a3a20753ae971e6897bffe8ee1485a659",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-08T11:21:16Z",
    "title_canon_sha256": "7effe7efcae17e9b50d5d4c5c04c7a1f61c3b89b00b14d05f7bc312c30ccdb19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07283",
    "kind": "arxiv",
    "version": 1
  }
}