Pith Number

pith:ZVDROV4H

pith:2012:ZVDROV4HV3TZB5UUVS25POQZMQ

not attested not anchored not stored refs pending

A Ces\`aro Average of Goldbach numbers

Alessandro Languasco, Alessandro Zaccagnini

arxiv:1206.0251 v1 · 2012-06-01 · 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{ZVDROV4HV3TZB5UUVS25POQZMQ}

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	2026-05-18T00:12:46.338809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd47175787aee790f694acb5d7ba19643d711bfa61181dbf8d8ab5a02d6c0daf

Aliases

arxiv: 1206.0251 · arxiv_version: 1206.0251v1 · doi: 10.48550/arxiv.1206.0251 · pith_short_12: ZVDROV4HV3TZ · pith_short_16: ZVDROV4HV3TZB5UU · pith_short_8: ZVDROV4H

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/ZVDROV4HV3TZB5UUVS25POQZMQ \
  | 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: cd47175787aee790f694acb5d7ba19643d711bfa61181dbf8d8ab5a02d6c0daf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03470884702a9550ff28c506ca7a7b04154a09a70d1c1ebec07b9e39ade43be1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-01T17:12:10Z",
    "title_canon_sha256": "cd9aeea37fc058f9b7d09da85139790d0ff2e08c33588b06521c8fa3c6f61734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0251",
    "kind": "arxiv",
    "version": 1
  }
}