Pith Number

pith:KMECOLIP

pith:2012:KMECOLIPWBE2LBBUPKIMZYGDEC

not attested not anchored not stored refs pending

Elliptic curves with p-Selmer growth for all p

Alex Bartel

arxiv:1204.1166 v3 · 2012-04-05 · 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{KMECOLIPWBE2LBBUPKIMZYGDEC}

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	2026-05-18T01:34:45.926092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5308272d0fb049a584347a90cce0c3208a668ecaf5c8a084ac7146fa68867799

Aliases

arxiv: 1204.1166 · arxiv_version: 1204.1166v3 · doi: 10.48550/arxiv.1204.1166 · pith_short_12: KMECOLIPWBE2 · pith_short_16: KMECOLIPWBE2LBBU · pith_short_8: KMECOLIP

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/KMECOLIPWBE2LBBUPKIMZYGDEC \
  | 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: 5308272d0fb049a584347a90cce0c3208a668ecaf5c8a084ac7146fa68867799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c2a6700453753272b9f5f8fc2b7c44cee16e98ce57b60f1b1741b3f375d78ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-05T10:11:22Z",
    "title_canon_sha256": "ebceb4dcdd8bf36402e95c335e7ef735fe98a02db6d6737e8113e98ff2d4a853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1166",
    "kind": "arxiv",
    "version": 3
  }
}