Pith Number

pith:4UIO6RYD

pith:2010:4UIO6RYDPBXVTUA36DG7EVJYPC

not attested not anchored not stored refs pending

Concave Renewal Functions Do Not Imply DFR Inter-Renewal Times

Yaming Yu

arxiv:1009.2463 v1 · 2010-09-13 · 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{4UIO6RYDPBXVTUA36DG7EVJYPC}

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	2026-05-18T04:19:23.216121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e510ef4703786f59d01bf0cdf2553878a10eff2716b0bbbd65cc83ab061d3396

Aliases

arxiv: 1009.2463 · arxiv_version: 1009.2463v1 · doi: 10.48550/arxiv.1009.2463 · pith_short_12: 4UIO6RYDPBXV · pith_short_16: 4UIO6RYDPBXVTUA3 · pith_short_8: 4UIO6RYD

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/4UIO6RYDPBXVTUA36DG7EVJYPC \
  | 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: e510ef4703786f59d01bf0cdf2553878a10eff2716b0bbbd65cc83ab061d3396

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9b6a1b99dbaecd19932b26b76454c2a06e1e3c47977fd3e36a4f1c14c190ac6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-13T18:03:36Z",
    "title_canon_sha256": "8edcad9dee7a3260247d7a56d7ad09aaef8f5f547d65b95d91580ec8ebfddfb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2463",
    "kind": "arxiv",
    "version": 1
  }
}