Pith Number

pith:LSJ2ITAJ

pith:2018:LSJ2ITAJPSJXGG5QWSUXP525KW

not attested not anchored not stored refs pending

$p^r$-Selmer companion modular forms

Dipramit Majumdar, Somnath Jha, Sudhanshu Shekhar

arxiv:1806.04944 v2 · 2018-06-13 · 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{LSJ2ITAJPSJXGG5QWSUXP525KW}

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	2026-05-17T23:56:29.772719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c93a44c097c93731bb0b4a977f75d55bafb157e28041147a4e37c5f0e2b9d38

Aliases

arxiv: 1806.04944 · arxiv_version: 1806.04944v2 · doi: 10.48550/arxiv.1806.04944 · pith_short_12: LSJ2ITAJPSJX · pith_short_16: LSJ2ITAJPSJXGG5Q · pith_short_8: LSJ2ITAJ

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/LSJ2ITAJPSJXGG5QWSUXP525KW \
  | 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: 5c93a44c097c93731bb0b4a977f75d55bafb157e28041147a4e37c5f0e2b9d38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71868bfcc2b2473a1c6169b890cef120d6c0ad2abad66ddc0515a30d2a7445f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-13T10:51:10Z",
    "title_canon_sha256": "46e346862de1b24a7f9ba744c89dd3515c0241913adeecbab323f80be994e3fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04944",
    "kind": "arxiv",
    "version": 2
  }
}