Pith Number

pith:N7MO4FJB

pith:2011:N7MO4FJB7EGFTDB57PMELUCEVU

not attested not anchored not stored refs pending

On the number of elliptic curves with prescribed isogeny or torsion group over number fields of prime degree

Filip Najman

arxiv:1109.6278 v4 · 2011-09-28 · 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{N7MO4FJB7EGFTDB57PMELUCEVU}

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	2026-05-18T02:57:45.144545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fd8ee1521f90c598c3dfbd845d044ad00c3392e7f8e2f560e5fa18c9f5d7b40

Aliases

arxiv: 1109.6278 · arxiv_version: 1109.6278v4 · doi: 10.48550/arxiv.1109.6278 · pith_short_12: N7MO4FJB7EGF · pith_short_16: N7MO4FJB7EGFTDB5 · pith_short_8: N7MO4FJB

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/N7MO4FJB7EGFTDB57PMELUCEVU \
  | 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: 6fd8ee1521f90c598c3dfbd845d044ad00c3392e7f8e2f560e5fa18c9f5d7b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "072cc66036a6850696bef87905cb8d4c78da82d3c42ae5567790443fd4a660cf",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-28T17:31:58Z",
    "title_canon_sha256": "5cf1b11c787fa82e2818579a6f68f4b581330646464269002b1bb7ba4e933acb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6278",
    "kind": "arxiv",
    "version": 4
  }
}