Pith Number

pith:C7KO6CZB

pith:2014:C7KO6CZBDQPNSQUFOOHJM625SB

not attested not anchored not stored refs pending

Criteria for p-ordinarity of families of elliptic curves over infinitely many number fields

Nuno Freitas, Panagiotis Tsaknias

arxiv:1404.3278 v1 · 2014-04-12 · 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{C7KO6CZBDQPNSQUFOOHJM625SB}

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	2026-05-18T02:54:15.519811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17d4ef0b211c1ed94285738e967b5d9054a3e9a4ee0e49f93ca29fdda3de4e0f

Aliases

arxiv: 1404.3278 · arxiv_version: 1404.3278v1 · doi: 10.48550/arxiv.1404.3278 · pith_short_12: C7KO6CZBDQPN · pith_short_16: C7KO6CZBDQPNSQUF · pith_short_8: C7KO6CZB

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/C7KO6CZBDQPNSQUFOOHJM625SB \
  | 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: 17d4ef0b211c1ed94285738e967b5d9054a3e9a4ee0e49f93ca29fdda3de4e0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d869de9a57f262404b6f2c22a174627a3d6faa998354a0a8d1997c1b5810bf8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-12T10:50:50Z",
    "title_canon_sha256": "801f575d0b53221816c4d0877eb790c980d41291c50cdccddebb9bfa4dd289c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3278",
    "kind": "arxiv",
    "version": 1
  }
}