Pith Number

pith:LPKE2JB3

pith:2012:LPKE2JB36RBCUOUXOQV22Q7P26

not attested not anchored not stored refs pending

Equations D3 and spectral elliptic curves

Masha Vlasenko, Vasily Golyshev

arxiv:1212.0205 v1 · 2012-12-02 · 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{LPKE2JB36RBCUOUXOQV22Q7P26}

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	2026-05-18T01:04:30.628169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bd44d243bf4422a3a97742bad43efd793cd58fca9a50b09811bae73289632c7

Aliases

arxiv: 1212.0205 · arxiv_version: 1212.0205v1 · doi: 10.48550/arxiv.1212.0205 · pith_short_12: LPKE2JB36RBC · pith_short_16: LPKE2JB36RBCUOUX · pith_short_8: LPKE2JB3

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/LPKE2JB36RBCUOUXOQV22Q7P26 \
  | 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: 5bd44d243bf4422a3a97742bad43efd793cd58fca9a50b09811bae73289632c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d5f4744b94915b49d6ca00ab51cbfc85fc63f3c432e65ad444f5ea5da3ba18f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-02T12:37:59Z",
    "title_canon_sha256": "70afff8f58e4184e44071e83f60bb01ac90e3bc0d9ab78a28a1a038dfacda4d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0205",
    "kind": "arxiv",
    "version": 1
  }
}