Pith Number

pith:WZJAIPNJ

pith:2011:WZJAIPNJHFX3TRWUHPAZ67XRL7

not attested not anchored not stored refs pending

On local-global divisibility by $p^n$ in elliptic curves

Evelina Viada, Gabriele Ranieri, Laura Paladino

arxiv:1104.4762 v2 · 2011-04-25 · 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{WZJAIPNJHFX3TRWUHPAZ67XRL7}

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	2026-05-18T03:32:08.137863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b652043da9396fb9c6d43bc19f7ef15fdb609d0df49468378f00e13a8dd93338

Aliases

arxiv: 1104.4762 · arxiv_version: 1104.4762v2 · doi: 10.48550/arxiv.1104.4762 · pith_short_12: WZJAIPNJHFX3 · pith_short_16: WZJAIPNJHFX3TRWU · pith_short_8: WZJAIPNJ

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/WZJAIPNJHFX3TRWUHPAZ67XRL7 \
  | 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: b652043da9396fb9c6d43bc19f7ef15fdb609d0df49468378f00e13a8dd93338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c10d6b40b6c4e34abd24f4a7ad5d22ddfc7a72252e5529bb1639b82877d78ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-04-25T18:12:53Z",
    "title_canon_sha256": "940671adbce4adecb44861253ffad0f0dcf4a9e462936eceb379662ee30cf1d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4762",
    "kind": "arxiv",
    "version": 2
  }
}