Pith Number

pith:ZMZALAHP

pith:2025:ZMZALAHPZHWUEG2LUDYRH3B4YY

not attested not anchored not stored refs pending

On inertial types of elliptic curves

Enric Florit, Jose Castro-Moreno, Nuno Freitas

arxiv:2512.05023 v2 · 2025-12-04 · 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{ZMZALAHPZHWUEG2LUDYRH3B4YY}

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	2026-06-12T01:09:17.403878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb320580efc9ed421b4ba0f113ec3cc61fd0f2d620e530756013a1c593975096

Aliases

arxiv: 2512.05023 · arxiv_version: 2512.05023v2 · doi: 10.48550/arxiv.2512.05023 · pith_short_12: ZMZALAHPZHWU · pith_short_16: ZMZALAHPZHWUEG2L · pith_short_8: ZMZALAHP

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/ZMZALAHPZHWUEG2LUDYRH3B4YY \
  | 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: cb320580efc9ed421b4ba0f113ec3cc61fd0f2d620e530756013a1c593975096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbcd89b9667e4bef8fba0ae853dbdb7ea660dce71fffc7e4fb888125b9ca4fc1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-12-04T17:37:07Z",
    "title_canon_sha256": "c06acde5dd18b7dd5b1e797b9cc2bc8314ae6b2f99bc3a9af406ab222aed676f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.05023",
    "kind": "arxiv",
    "version": 2
  }
}