Pith Number

pith:AM3KR65C

pith:2014:AM3KR65CGEKCEU73SBUEZHM3F5

not attested not anchored not stored refs pending

Isogeny graphs with maximal real multiplication

Emmanuel Thom\'e (CARAMBA), IMB), LFANT, Sorina Ionica (MIS

arxiv:1407.6672 v4 · 2014-07-23 · 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{AM3KR65CGEKCEU73SBUEZHM3F5}

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	2026-05-17T23:53:44.648781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0336a8fba231142253fb90684c9d9b2f75253ae87aee1a55ac2fa9205b47c7eb

Aliases

arxiv: 1407.6672 · arxiv_version: 1407.6672v4 · doi: 10.48550/arxiv.1407.6672 · pith_short_12: AM3KR65CGEKC · pith_short_16: AM3KR65CGEKCEU73 · pith_short_8: AM3KR65C

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/AM3KR65CGEKCEU73SBUEZHM3F5 \
  | 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: 0336a8fba231142253fb90684c9d9b2f75253ae87aee1a55ac2fa9205b47c7eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db8edb062d2c5e01a6eed187dbe5ca9dba20f7fa9f7f4b804268cbe34ecb5087",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-23T19:56:20Z",
    "title_canon_sha256": "8c35464edcc62f9f5995d17d891fc7cf43776bd2a551704fdee92703248c6df6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6672",
    "kind": "arxiv",
    "version": 4
  }
}