Pith Number

pith:7EX3Z4O2

pith:2010:7EX3Z4O2X36WNTT7VGFAXNZ7DO

not attested not anchored not stored refs pending

Generalized Fibonacci Numbers and Blackwell's Renewal Theorem

S\"oren Christensen

arxiv:1012.5006 v1 · 2010-12-22 · math.PR · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7EX3Z4O2X36WNTT7VGFAXNZ7DO}

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	2026-05-18T03:56:08.676426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f92fbcf1dabefd66ce7fa98a0bb73f1bb777ae8542eb18a7dc035511850a942f

Aliases

arxiv: 1012.5006 · arxiv_version: 1012.5006v1 · doi: 10.48550/arxiv.1012.5006 · pith_short_12: 7EX3Z4O2X36W · pith_short_16: 7EX3Z4O2X36WNTT7 · pith_short_8: 7EX3Z4O2

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/7EX3Z4O2X36WNTT7VGFAXNZ7DO \
  | 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: f92fbcf1dabefd66ce7fa98a0bb73f1bb777ae8542eb18a7dc035511850a942f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d23a9934f27c867c7b0a0a2da24e92d716a8b8cd4c566e263526b61b0c5d49f1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-22T15:22:39Z",
    "title_canon_sha256": "d8d74c3fee7c7c95e9ecb6787223670d9c3422f2c34da972caa2d8cda7164b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5006",
    "kind": "arxiv",
    "version": 1
  }
}