Pith Number

pith:EBES6WNM

pith:2016:EBES6WNMSU5EEMXIY5HCQJ5MC5

not attested not anchored not stored refs pending

Ces\`aro average in short intervals for Goldbach numbers

Alessandro Languasco, Alessandro Zaccagnini

arxiv:1606.00869 v2 · 2016-06-02 · 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{EBES6WNMSU5EEMXIY5HCQJ5MC5}

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	2026-05-18T00:39:23.153720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20492f59ac953a4232e8c74e2827ac1752059249a143df22036fd0f794789b97

Aliases

arxiv: 1606.00869 · arxiv_version: 1606.00869v2 · doi: 10.48550/arxiv.1606.00869 · pith_short_12: EBES6WNMSU5E · pith_short_16: EBES6WNMSU5EEMXI · pith_short_8: EBES6WNM

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/EBES6WNMSU5EEMXIY5HCQJ5MC5 \
  | 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: 20492f59ac953a4232e8c74e2827ac1752059249a143df22036fd0f794789b97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adfb3a56effeefca2c493c86c8cb610913f14d18877e7f60761ab17b7b9e1375",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-02T20:42:45Z",
    "title_canon_sha256": "231965c00cd75b85d7d6edef4f1529cc769c06bd27777a596ef96e92fe6d4f42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00869",
    "kind": "arxiv",
    "version": 2
  }
}