Pith Number

pith:KVX5SE62

pith:2007:KVX5SE62OCM3STVXVKGVJWWUGJ

not attested not anchored not stored refs pending

The uniform primality conjecture for elliptic curves

Graham Everest, Patrick Ingram, Shaun Stevens, Valery Mahe

arxiv:0712.2696 v1 · 2007-12-17 · 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{KVX5SE62OCM3STVXVKGVJWWUGJ}

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	2026-05-18T02:16:02.677553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

556fd913da7099b94eb7aa8d54dad432561ac90c122325b71b1fe29be93d8c46

Aliases

arxiv: 0712.2696 · arxiv_version: 0712.2696v1 · doi: 10.48550/arxiv.0712.2696 · pith_short_12: KVX5SE62OCM3 · pith_short_16: KVX5SE62OCM3STVX · pith_short_8: KVX5SE62

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/KVX5SE62OCM3STVXVKGVJWWUGJ \
  | 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: 556fd913da7099b94eb7aa8d54dad432561ac90c122325b71b1fe29be93d8c46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40b513673e4e442e7b56fe9acbaf8284d5e13dbfd849b4d2062bd53c8f01dc6b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-12-17T11:47:10Z",
    "title_canon_sha256": "59d1186db3689e127b8bf47b036a0eb7a71ab1014f939b1b3f9f4c9480d64647"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2696",
    "kind": "arxiv",
    "version": 1
  }
}