Pith Number

pith:662XNSXO

pith:2024:662XNSXOEJT4LPRCQHO3WSZ6CP

not attested not anchored not stored refs pending

Elliptic curves over Hasse pairs

Antoine Joux, Daniele Taufer, Eleni Agathocleous

arxiv:2406.03399 v1 · 2024-06-05 · math.NT · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{662XNSXOEJT4LPRCQHO3WSZ6CP}

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	2026-07-05T11:28:30.163409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7b576caee2267c5be2281ddbb4b3e13d82d787004cefa7dd1d9af431bc0a14b

Aliases

arxiv: 2406.03399 · arxiv_version: 2406.03399v1 · doi: 10.48550/arxiv.2406.03399 · pith_short_12: 662XNSXOEJT4 · pith_short_16: 662XNSXOEJT4LPRC · pith_short_8: 662XNSXO

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/662XNSXOEJT4LPRCQHO3WSZ6CP \
  | 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: f7b576caee2267c5be2281ddbb4b3e13d82d787004cefa7dd1d9af431bc0a14b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32c6c59b1f424f24b29fff2b5346e9fb0c7bd6dc5e32526432c072b205452bb6",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-06-05T15:59:30Z",
    "title_canon_sha256": "52f2d63d65236d17712c596731b1142bfb8db7bc7f9020f6fb4f4e5f2501e22d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.03399",
    "kind": "arxiv",
    "version": 1
  }
}