Pith Number

pith:CFGBZOLS

pith:2014:CFGBZOLS5XI3HGORKKHRAVRQAT

not attested not anchored not stored refs pending

The structure of Selmer groups of elliptic curves and modular symbols

Masato Kurihara

arxiv:1407.2465 v1 · 2014-07-09 · 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{CFGBZOLS5XI3HGORKKHRAVRQAT}

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	2026-05-18T02:48:01.500861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

114c1cb972edd1b399d1528f10563004ee5f7c99d03c8c962fc9ebe309df080d

Aliases

arxiv: 1407.2465 · arxiv_version: 1407.2465v1 · doi: 10.48550/arxiv.1407.2465 · pith_short_12: CFGBZOLS5XI3 · pith_short_16: CFGBZOLS5XI3HGOR · pith_short_8: CFGBZOLS

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/CFGBZOLS5XI3HGORKKHRAVRQAT \
  | 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: 114c1cb972edd1b399d1528f10563004ee5f7c99d03c8c962fc9ebe309df080d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bce2f30803c04eeb99cc01d76b388e35bd221a078ce0d35d769d4125015dcb01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-09T12:52:46Z",
    "title_canon_sha256": "4691c7b04825ca23a32528144424fb15547f7712bd9314cf5a5636357fdcab68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2465",
    "kind": "arxiv",
    "version": 1
  }
}