Pith Number

pith:EKXOOGPE

pith:2010:EKXOOGPEXW7M6CHQOLDEZ6H2DW

not attested not anchored not stored refs pending

Class number formulas via 2-isogenies of elliptic curves

Cam McLeman, Christopher Rasmussen

arxiv:1008.4766 v3 · 2010-08-27 · 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{EKXOOGPEXW7M6CHQOLDEZ6H2DW}

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	2026-05-18T02:58:01.870072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22aee719e4bdbecf08f072c64cf8fa1dabd0a3b9e01ccf87238eda2e56c66db3

Aliases

arxiv: 1008.4766 · arxiv_version: 1008.4766v3 · doi: 10.48550/arxiv.1008.4766 · pith_short_12: EKXOOGPEXW7M · pith_short_16: EKXOOGPEXW7M6CHQ · pith_short_8: EKXOOGPE

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/EKXOOGPEXW7M6CHQOLDEZ6H2DW \
  | 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: 22aee719e4bdbecf08f072c64cf8fa1dabd0a3b9e01ccf87238eda2e56c66db3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a6a0a425ca3d6991977870202be72965974d86b5d54e546e7461d2ee8d5f5a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-27T17:38:10Z",
    "title_canon_sha256": "fc1b96a408c1a1041985c11de8f6d3925b21cb0d7d4f98d89f0a30fa0a0e5aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4766",
    "kind": "arxiv",
    "version": 3
  }
}