Pith Number

pith:66ELNLK7

pith:2008:66ELNLK7EHLW4PESFTU6YSIQAV

not attested not anchored not stored refs pending

On the equivariant and the non-equivariant main conjecture for imaginary quadratic fields

Guido Kings, Jennifer Johnson-Leung

arxiv:0804.2828 v2 · 2008-04-17 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66ELNLK7EHLW4PESFTU6YSIQAV}

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	2026-05-18T02:29:02.831221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f788b6ad5f21d76e3c922ce9ec4910056d9fbf6ee81ffd70ffb4ec0b135464b0

Aliases

arxiv: 0804.2828 · arxiv_version: 0804.2828v2 · doi: 10.48550/arxiv.0804.2828 · pith_short_12: 66ELNLK7EHLW · pith_short_16: 66ELNLK7EHLW4PES · pith_short_8: 66ELNLK7

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/66ELNLK7EHLW4PESFTU6YSIQAV \
  | 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: f788b6ad5f21d76e3c922ce9ec4910056d9fbf6ee81ffd70ffb4ec0b135464b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de88ad3e6afaa886648862946a72559f64a27dec297c3fa172c92ad6a2ec0bd8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-04-17T14:34:27Z",
    "title_canon_sha256": "88c05c8429c5e47dcafc75a5fefe5c86dc630f72281c3ff8a26031d00f51cd8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2828",
    "kind": "arxiv",
    "version": 2
  }
}