Pith Number

pith:L45GOXYS

pith:2009:L45GOXYSGZ64Q2VV4MMV7DDBXQ

not attested not anchored not stored refs pending

On sums of squares of primes II

Angel Kumchev, Glyn Harman

arxiv:0902.4190 v1 · 2009-02-24 · 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{L45GOXYSGZ64Q2VV4MMV7DDBXQ}

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	2026-05-18T04:42:02.757825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f3a675f12367dc86ab5e3195f8c61bc05c9a0d32e6c100ed98477fa5edbb8ef

Aliases

arxiv: 0902.4190 · arxiv_version: 0902.4190v1 · doi: 10.48550/arxiv.0902.4190 · pith_short_12: L45GOXYSGZ64 · pith_short_16: L45GOXYSGZ64Q2VV · pith_short_8: L45GOXYS

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/L45GOXYSGZ64Q2VV4MMV7DDBXQ \
  | 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: 5f3a675f12367dc86ab5e3195f8c61bc05c9a0d32e6c100ed98477fa5edbb8ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7952d2f75123b7a4e679f8ab7c372470598ac711612e8caa54c1d1ed1fa77d18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-02-24T17:02:50Z",
    "title_canon_sha256": "9dd06b51379d7b9ba190a22c73b493dc75254e40b1e9c3bc5f8f68728934b611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4190",
    "kind": "arxiv",
    "version": 1
  }
}