Pith Number

pith:73PTZM6R

pith:2018:73PTZM6R5WFGLN65Y6JPR5KTJL

not attested not anchored not stored refs pending

Asymptotic lower bound of class numbers along a Galois representation

Tatsuya Ohshita

arxiv:1805.03850 v1 · 2018-05-10 · 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{73PTZM6R5WFGLN65Y6JPR5KTJL}

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	2026-05-18T00:16:18.601470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fedf3cb3d1ed8a65b7ddc792f8f5534ad78333a8e917ec024eccc7dd93952d49

Aliases

arxiv: 1805.03850 · arxiv_version: 1805.03850v1 · doi: 10.48550/arxiv.1805.03850 · pith_short_12: 73PTZM6R5WFG · pith_short_16: 73PTZM6R5WFGLN65 · pith_short_8: 73PTZM6R

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/73PTZM6R5WFGLN65Y6JPR5KTJL \
  | 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: fedf3cb3d1ed8a65b7ddc792f8f5534ad78333a8e917ec024eccc7dd93952d49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d41648831a2e88ac4a89cdb86e4348a5cfa769e833a3038240f9f14deee6f05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-10T06:54:12Z",
    "title_canon_sha256": "2b27b1072fea33c80c0c59818a961e03e79110db141a34bc117a44c39edf2bfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03850",
    "kind": "arxiv",
    "version": 1
  }
}