Pith Number

pith:NUBZWFUN

pith:2012:NUBZWFUNEYTULDS2C57LLWGFIB

not attested not anchored not stored refs pending

On a system of equations with primes

Paolo Leonetti, Salvatore Tringali

arxiv:1212.0802 v5 · 2012-12-04 · 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{NUBZWFUNEYTULDS2C57LLWGFIB}

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	2026-05-18T02:28:21.142241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d039b168d2627458e5a177eb5d8c54041eedf2e4d6c4077dd55655590d0fc72

Aliases

arxiv: 1212.0802 · arxiv_version: 1212.0802v5 · doi: 10.48550/arxiv.1212.0802 · pith_short_12: NUBZWFUNEYTU · pith_short_16: NUBZWFUNEYTULDS2 · pith_short_8: NUBZWFUN

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/NUBZWFUNEYTULDS2C57LLWGFIB \
  | 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: 6d039b168d2627458e5a177eb5d8c54041eedf2e4d6c4077dd55655590d0fc72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df158704cd5a9b876546d26dbb4c3606bb72df4e2bfa5ab8557e7ecb03a06a71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-04T17:33:01Z",
    "title_canon_sha256": "ef182c12ef3cf98ad66c276cad4b8502caafb7036891fbfd691cd255e09ec1da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0802",
    "kind": "arxiv",
    "version": 5
  }
}