Pith Number

pith:SHOPRP5E

pith:2025:SHOPRP5EC2PURGAXFAFGMJ7OT4

not attested not anchored not stored refs pending

Lower bounds on the $\ell$-rank of ideal class groups

Daniel E. Martin

arxiv:2501.09865 v1 · 2025-01-16 · 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{SHOPRP5EC2PURGAXFAFGMJ7OT4}

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.

Cited by

1 paper in Pith

Adversarial Stress Testing of Role-Playing Language Agents using Multi-Agent Evaluation

Receipt and verification

First computed	2026-07-05T10:02:12.498447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91dcf8bfa4169f489817280a6627ee9f333a9f7b09cefa501e558a262deef462

Aliases

arxiv: 2501.09865 · arxiv_version: 2501.09865v1 · doi: 10.48550/arxiv.2501.09865 · pith_short_12: SHOPRP5EC2PU · pith_short_16: SHOPRP5EC2PURGAX · pith_short_8: SHOPRP5E

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/SHOPRP5EC2PURGAXFAFGMJ7OT4 \
  | 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: 91dcf8bfa4169f489817280a6627ee9f333a9f7b09cefa501e558a262deef462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3ce3997965f29638a0e953ee781a460eb2ecef556dc168168955f4851f6689a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-16T22:29:12Z",
    "title_canon_sha256": "31e6ca5d1369262dc0d0730bfccc076c85535057dc979ee2533ddebf78044a20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.09865",
    "kind": "arxiv",
    "version": 1
  }
}