Pith Number

pith:4S7PVNPW

pith:2010:4S7PVNPWI2H3BVHSX7CIHXYAWL

not attested not anchored not stored refs pending

On the functional limits for sums of a function of partial sums

Kamil Marcin Kosi\'nski

arxiv:1006.0620 v2 · 2010-06-03 · 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{4S7PVNPWI2H3BVHSX7CIHXYAWL}

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	2026-05-18T02:04:00.743484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4befab5f6468fb0d4f2bfc483df00b2c1eb36ec175c3bd203c2ad99319708ed

Aliases

arxiv: 1006.0620 · arxiv_version: 1006.0620v2 · doi: 10.48550/arxiv.1006.0620 · pith_short_12: 4S7PVNPWI2H3 · pith_short_16: 4S7PVNPWI2H3BVHS · pith_short_8: 4S7PVNPW

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/4S7PVNPWI2H3BVHSX7CIHXYAWL \
  | 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: e4befab5f6468fb0d4f2bfc483df00b2c1eb36ec175c3bd203c2ad99319708ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e5179f55e7ed6a3eeb5de4f872b0403ef4b342b942942511048e2393bd36fb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-06-03T11:17:59Z",
    "title_canon_sha256": "ad4ebb77175b0456de6f5e9e8c8f1b21cf611aeeeeb4c0d674d89c17a0552472"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0620",
    "kind": "arxiv",
    "version": 2
  }
}