Pith Number

pith:52GHER5Z

pith:2011:52GHER5ZKF4S6AXYKGYFOPHAN6

not attested not anchored not stored refs pending

Tail estimates for stochastic fixed point equations via nonlinear renewal theory

Anand N. Vidyashankar, Jeffrey F. Collamore

arxiv:1103.2317 v2 · 2011-03-11 · 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{52GHER5ZKF4S6AXYKGYFOPHAN6}

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	2026-05-18T04:26:54.452239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee8c7247b951792f02f851b0573ce06fabc34d4286a86c8cc42ba6ebe6a815f0

Aliases

arxiv: 1103.2317 · arxiv_version: 1103.2317v2 · doi: 10.48550/arxiv.1103.2317 · pith_short_12: 52GHER5ZKF4S · pith_short_16: 52GHER5ZKF4S6AXY · pith_short_8: 52GHER5Z

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/52GHER5ZKF4S6AXYKGYFOPHAN6 \
  | 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: ee8c7247b951792f02f851b0573ce06fabc34d4286a86c8cc42ba6ebe6a815f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c89c19b5dd4f49f0f60c7332b4bcdab3c1b33a4af313652746471053380f8b1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-11T17:11:23Z",
    "title_canon_sha256": "1d5bd19f45e7aa245efeb8e80affbe101a6da145493d032fcf7689003f9335fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2317",
    "kind": "arxiv",
    "version": 2
  }
}