Pith Number

pith:52675UK4

pith:2016:52675UK4SFQSRNERMOPHU5MSMH

not attested not anchored not stored refs pending

Governing fields and statistics for 4-Selmer groups and 8-class groups

Alexander Smith

arxiv:1607.07860 v1 · 2016-07-26 · 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{52675UK4SFQSRNERMOPHU5MSMH}

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	2026-05-18T01:10:24.989495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eebdfed15c916128b491639e7a759261e49a197b39de6a6080e882626f174e94

Aliases

arxiv: 1607.07860 · arxiv_version: 1607.07860v1 · doi: 10.48550/arxiv.1607.07860 · pith_short_12: 52675UK4SFQS · pith_short_16: 52675UK4SFQSRNER · pith_short_8: 52675UK4

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/52675UK4SFQSRNERMOPHU5MSMH \
  | 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: eebdfed15c916128b491639e7a759261e49a197b39de6a6080e882626f174e94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dfdb936575273f92bfee4bd2a8a870cdecc81276b4cbbe6d4f7f198b22774c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-26T19:48:31Z",
    "title_canon_sha256": "101059275c1cfbaf031226e3afad729fa2d10031a8cd03388e309d5c26708269"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07860",
    "kind": "arxiv",
    "version": 1
  }
}