Pith Number

pith:NVG4TCY7

pith:2016:NVG4TCY7TQJXGPUDUZJSORW42G

not attested not anchored not stored refs pending

Variations on a Lemma of Nicolas and Serre

Paul Monsky

arxiv:1604.02622 v2 · 2016-04-10 · 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{NVG4TCY7TQJXGPUDUZJSORW42G}

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	2026-05-18T00:55:28.529857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d4dc98b1f9c13733e83a6532746dcd1817daeed10a9d3b606256245c017568a

Aliases

arxiv: 1604.02622 · arxiv_version: 1604.02622v2 · doi: 10.48550/arxiv.1604.02622 · pith_short_12: NVG4TCY7TQJX · pith_short_16: NVG4TCY7TQJXGPUD · pith_short_8: NVG4TCY7

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/NVG4TCY7TQJXGPUDUZJSORW42G \
  | 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: 6d4dc98b1f9c13733e83a6532746dcd1817daeed10a9d3b606256245c017568a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "711f792ef7ed0c5ff874c10b81262d219ea4c9daa0c520533ef2c5893cc8f307",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-10T00:49:12Z",
    "title_canon_sha256": "ff843cb392087fadaedc4199bd8bcbab83320c880a5007358189a71851e28b75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02622",
    "kind": "arxiv",
    "version": 2
  }
}