Pith Number

pith:CU2YNZGS

pith:2017:CU2YNZGS2HXTSIFI5WLWGWDJTI

not attested not anchored not stored refs pending

The $2$-Selmer group of a number field and heuristics for narrow class groups and signature ranks of units

appendix with Richard Foote, David S. Dummit, John Voight

arxiv:1702.00092 v2 · 2017-02-01 · 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{CU2YNZGS2HXTSIFI5WLWGWDJTI}

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	2026-05-18T00:17:09.457406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

153586e4d2d1ef3920a8ed976358699a2848472e07577e80254ad450da06e9ed

Aliases

arxiv: 1702.00092 · arxiv_version: 1702.00092v2 · doi: 10.48550/arxiv.1702.00092 · pith_short_12: CU2YNZGS2HXT · pith_short_16: CU2YNZGS2HXTSIFI · pith_short_8: CU2YNZGS

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/CU2YNZGS2HXTSIFI5WLWGWDJTI \
  | 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: 153586e4d2d1ef3920a8ed976358699a2848472e07577e80254ad450da06e9ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d010cff0242d898de659d4d37a6d376b79e83e79fb363d7aea81a1c5f3eff51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-01T00:29:51Z",
    "title_canon_sha256": "8926217b206d81da4a9a536ced82487383c754f02f98b13220bd85c9aad1fb60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00092",
    "kind": "arxiv",
    "version": 2
  }
}