Pith Number

pith:5Y4XCAD7

pith:2005:5Y4XCAD7XLPJYAQ645RZS3UJIE

not attested not anchored not stored refs pending

Convolutions and mean square estimates of certain number-theoretic error terms

Aleksandar Ivic

arxiv:math/0512306 v3 · 2005-12-14 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Y4XCAD7XLPJYAQ645RZS3UJIE}

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	2026-05-18T04:37:20.986000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee3971007fbade9c021ee763996e89411db0d9cc0eebaeedd8b7e23caf0856a7

Aliases

arxiv: math/0512306 · arxiv_version: math/0512306v3 · doi: 10.48550/arxiv.math/0512306 · pith_short_12: 5Y4XCAD7XLPJ · pith_short_16: 5Y4XCAD7XLPJYAQ6 · pith_short_8: 5Y4XCAD7

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/5Y4XCAD7XLPJYAQ645RZS3UJIE \
  | 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: ee3971007fbade9c021ee763996e89411db0d9cc0eebaeedd8b7e23caf0856a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a52fb8500c5b7e1eda592fb6964d136cd9a12db108996149369f488f8e782eb2",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2005-12-14T09:32:27Z",
    "title_canon_sha256": "a0532f7a84516464ffee2fa329c93bdb6f89e810fc30325ee99b8831f345d6f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512306",
    "kind": "arxiv",
    "version": 3
  }
}