Pith Number

pith:6PT2PQ2I

pith:2016:6PT2PQ2IDCNZWOCRUSSPIZ2VMG

not attested not anchored not stored refs pending

Explicit bounds for generators of the class group

Giuseppe Molteni, Lo\"ic Greni\'e

arxiv:1607.02430 v5 · 2016-07-08 · 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{6PT2PQ2IDCNZWOCRUSSPIZ2VMG}

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	2026-05-17T23:45:05.032015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e7a7c348189b9b3851a4a4f4675561a514dcd6e161681aa335d47f2857792d

Aliases

arxiv: 1607.02430 · arxiv_version: 1607.02430v5 · doi: 10.48550/arxiv.1607.02430 · pith_short_12: 6PT2PQ2IDCNZ · pith_short_16: 6PT2PQ2IDCNZWOCR · pith_short_8: 6PT2PQ2I

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/6PT2PQ2IDCNZWOCRUSSPIZ2VMG \
  | 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: f3e7a7c348189b9b3851a4a4f4675561a514dcd6e161681aa335d47f2857792d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da1f9ca153316d080583cb112b4338007466676f97dbd809d10742520deb9c5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-08T15:54:54Z",
    "title_canon_sha256": "3ff6f109787ba06894aa53fb5cc42ccf4bb62d237cf75071137ba8ff7b7665f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02430",
    "kind": "arxiv",
    "version": 5
  }
}