Pith Number

pith:3D2CTV4M

pith:2015:3D2CTV4MBJMSSQDIU3T7WSIAIU

not attested not anchored not stored refs pending

Class groups and Selmer groups

Edward F. Schaefer

arxiv:1507.08324 v1 · 2015-07-29 · 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{3D2CTV4MBJMSSQDIU3T7WSIAIU}

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	2026-05-18T01:36:07.751643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8f429d78c0a59294068a6e7fb490045100728ac1aeed1ad0d3e1bd6efe6598c

Aliases

arxiv: 1507.08324 · arxiv_version: 1507.08324v1 · doi: 10.48550/arxiv.1507.08324 · pith_short_12: 3D2CTV4MBJMS · pith_short_16: 3D2CTV4MBJMSSQDI · pith_short_8: 3D2CTV4M

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/3D2CTV4MBJMSSQDIU3T7WSIAIU \
  | 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: d8f429d78c0a59294068a6e7fb490045100728ac1aeed1ad0d3e1bd6efe6598c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "166429ce645f2950c0ca45ca3a0ffe51b53b650128c56dd77d41ddf536a59525",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-29T21:43:58Z",
    "title_canon_sha256": "e1615d292d6a7f528fa9ed7cd3bf88ec5e2b1b924ab8027d07f1839bf9a825f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08324",
    "kind": "arxiv",
    "version": 1
  }
}