Pith Number

pith:L4M43Z3B

pith:2014:L4M43Z3BBHLSTHO5OVGPTNVCLC

not attested not anchored not stored refs pending

Densities of rational points and number fields

Takehiko Yasuda

arxiv:1408.3912 v1 · 2014-08-18 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4M43Z3BBHLSTHO5OVGPTNVCLC}

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	2026-05-18T02:45:03.073137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f19cde76109d7299ddd754cf9b6a2589d1bdca7863cac459b162997961c44ac

Aliases

arxiv: 1408.3912 · arxiv_version: 1408.3912v1 · doi: 10.48550/arxiv.1408.3912 · pith_short_12: L4M43Z3BBHLS · pith_short_16: L4M43Z3BBHLSTHO5 · pith_short_8: L4M43Z3B

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/L4M43Z3BBHLSTHO5OVGPTNVCLC \
  | 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: 5f19cde76109d7299ddd754cf9b6a2589d1bdca7863cac459b162997961c44ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0781aad1110c7354a441ca97f583aa480ce677a8994d5ebc2e08598c194e936d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-18T07:27:12Z",
    "title_canon_sha256": "99f82c266019d682a363fd1545b0e3a663d53be48a5947d47dab7ae428bb96df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3912",
    "kind": "arxiv",
    "version": 1
  }
}