Pith Number

pith:F2RUBPQV

pith:2012:F2RUBPQVGTCGTQIYCL6LFOSRSZ

not attested not anchored not stored refs pending

From uniform renewal theorem to uniform large and moderate deviations for renewal-reward processes

Boris Tsirelson

arxiv:1207.1290 v1 · 2012-07-05 · 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{F2RUBPQVGTCGTQIYCL6LFOSRSZ}

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	2026-05-18T03:51:46.428709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ea340be1534c469c11812fcb2ba5196698f22cf37c852c3ec050af2bb362b72

Aliases

arxiv: 1207.1290 · arxiv_version: 1207.1290v1 · doi: 10.48550/arxiv.1207.1290 · pith_short_12: F2RUBPQVGTCG · pith_short_16: F2RUBPQVGTCGTQIY · pith_short_8: F2RUBPQV

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/F2RUBPQVGTCGTQIYCL6LFOSRSZ \
  | 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: 2ea340be1534c469c11812fcb2ba5196698f22cf37c852c3ec050af2bb362b72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b3c9ee643f754ab8cb72581f1ae2b095b6974c874b2c707228d2e733368d387",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-05T15:48:00Z",
    "title_canon_sha256": "919cc693c1dbbea1ec9b2a9f5875834c9c35613a3f192db3e7521ef07d553495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1290",
    "kind": "arxiv",
    "version": 1
  }
}