Pith Number

pith:AKY7FT52

pith:2010:AKY7FT52BORT6HAWE2W4HZTCKZ

not attested not anchored not stored refs pending

On approximation of functions satisfying defective renewal equations

C. Sang\"uesa

arxiv:1012.3844 v1 · 2010-12-17 · 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{AKY7FT52BORT6HAWE2W4HZTCKZ}

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	2026-05-18T02:52:23.969902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02b1f2cfba0ba33f1c1626adc3e662566323e6ed9840e769b52a8377b73a43eb

Aliases

arxiv: 1012.3844 · arxiv_version: 1012.3844v1 · doi: 10.48550/arxiv.1012.3844 · pith_short_12: AKY7FT52BORT · pith_short_16: AKY7FT52BORT6HAW · pith_short_8: AKY7FT52

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/AKY7FT52BORT6HAWE2W4HZTCKZ \
  | 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: 02b1f2cfba0ba33f1c1626adc3e662566323e6ed9840e769b52a8377b73a43eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d72493125534786eb77f96ebb8ebc08a389e37287c53884edded11539ec2bbe2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-17T10:24:25Z",
    "title_canon_sha256": "e8d40dad0e34e4e17123bbde16bd65934a0bad2165d48274fd874da3fafb58cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3844",
    "kind": "arxiv",
    "version": 1
  }
}