Pith Number

pith:7JKEFFIQ

pith:2012:7JKEFFIQPONPHQ7HFRSS4INIBH

not attested not anchored not stored refs pending

One-basedness and reductions of elliptic curves over real closed fields

Davide Penazzi

arxiv:1208.0708 v1 · 2012-08-03 · math.LO · 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{7JKEFFIQPONPHQ7HFRSS4INIBH}

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	2026-05-18T03:49:23.035090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa544295107b9af3c3e72c652e21a809e035b4f8455843cbd15d1e63670dd025

Aliases

arxiv: 1208.0708 · arxiv_version: 1208.0708v1 · doi: 10.48550/arxiv.1208.0708 · pith_short_12: 7JKEFFIQPONP · pith_short_16: 7JKEFFIQPONPHQ7H · pith_short_8: 7JKEFFIQ

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/7JKEFFIQPONPHQ7HFRSS4INIBH \
  | 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: fa544295107b9af3c3e72c652e21a809e035b4f8455843cbd15d1e63670dd025

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc1af8970d265997cb9e853b622acc547ef185b2682e9d209a348afa1ec27299",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-08-03T10:48:06Z",
    "title_canon_sha256": "a9b38d567115f15669c5fb9132436f4832fb327473f78002e4484f006b44f43a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0708",
    "kind": "arxiv",
    "version": 1
  }
}