Pith Number

pith:CUFHAMTN

pith:2007:CUFHAMTNQMQQXAMBBFJ3HWB7MO

not attested not anchored not stored refs pending

A note on the convergence of renewal and regenerative processes to a Brownian bridge

Sergey Foss, Takis Konstantopoulos

arxiv:0708.3667 v1 · 2007-08-27 · 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{CUFHAMTNQMQQXAMBBFJ3HWB7MO}

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	2026-05-18T00:29:34.223156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

150a70326d83210b81810953b3d83f63b018437b96348bd58f7d86fbaff65d5c

Aliases

arxiv: 0708.3667 · arxiv_version: 0708.3667v1 · doi: 10.48550/arxiv.0708.3667 · pith_short_12: CUFHAMTNQMQQ · pith_short_16: CUFHAMTNQMQQXAMB · pith_short_8: CUFHAMTN

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/CUFHAMTNQMQQXAMBBFJ3HWB7MO \
  | 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: 150a70326d83210b81810953b3d83f63b018437b96348bd58f7d86fbaff65d5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db1594ca109bc3238ffd44b4b514e2c93fa931401403c7ce1846b3f2dccd332e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-08-27T19:40:46Z",
    "title_canon_sha256": "6ed6387d708a84d19a2a58f86706bb22750f2a4e157b12b03f64c56d0ecc8a1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3667",
    "kind": "arxiv",
    "version": 1
  }
}