Pith Number

pith:Q6HIVT75

pith:2024:Q6HIVT75V5COMGZFVPNPSRR7ET

not attested not anchored not stored refs pending

Relative $p$-class groups and $p$-Selmer groups

Debajyoti De, Dipramit Majumdar, Sudipa Mondal

arxiv:2412.13022 v1 · 2024-12-17 · 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{Q6HIVT75V5COMGZFVPNPSRR7ET}

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	2026-07-05T09:50:39.169992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

878e8acffdaf44e61b25abdaf9463f24ed566ca7af38c4e6e82f6a97cb3046da

Aliases

arxiv: 2412.13022 · arxiv_version: 2412.13022v1 · doi: 10.48550/arxiv.2412.13022 · pith_short_12: Q6HIVT75V5CO · pith_short_16: Q6HIVT75V5COMGZF · pith_short_8: Q6HIVT75

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/Q6HIVT75V5COMGZFVPNPSRR7ET \
  | 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: 878e8acffdaf44e61b25abdaf9463f24ed566ca7af38c4e6e82f6a97cb3046da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cee9d2f0dd30ab8a88621b0cfcd4ccaeea10933bd855616bcfdd89e5d5b71444",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-17T15:41:50Z",
    "title_canon_sha256": "725653b0bc7e51b10232639699f4ffbf6aabbd516c1a281540b7f59856667aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13022",
    "kind": "arxiv",
    "version": 1
  }
}