Pith Number

pith:6ARVVCN3

pith:2015:6ARVVCN3CJCRZCE6MNBSACMB4F

not attested not anchored not stored refs pending

Minimizing the frequency of carries in modular addition

Francesco Monopoli

arxiv:1511.02404 v1 · 2015-11-07 · 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{6ARVVCN3CJCRZCE6MNBSACMB4F}

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	2026-05-18T01:27:30.382777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0235a89bb12451c889e6343200981e175380e568749e623e2a1f302fc6a9d40

Aliases

arxiv: 1511.02404 · arxiv_version: 1511.02404v1 · doi: 10.48550/arxiv.1511.02404 · pith_short_12: 6ARVVCN3CJCR · pith_short_16: 6ARVVCN3CJCRZCE6 · pith_short_8: 6ARVVCN3

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/6ARVVCN3CJCRZCE6MNBSACMB4F \
  | 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: f0235a89bb12451c889e6343200981e175380e568749e623e2a1f302fc6a9d40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e0bd1351362b5d4a87314e7ffc616440fc223bca1ba85ed62ad9ce90d5807c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-07T21:18:40Z",
    "title_canon_sha256": "90dc1e76a894c4270fc50f7dcfe87ab8b80de39e3c3ddc9555e987ced9230497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02404",
    "kind": "arxiv",
    "version": 1
  }
}