Pith Number

pith:CP3OEO2U

pith:2015:CP3OEO2UDWBYY4VTJIGPVEOQF5

not attested not anchored not stored refs pending

Elliptic curves with square-free $\Delta$

Stephan Baier

arxiv:1503.01697 v6 · 2015-03-05 · 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{CP3OEO2UDWBYY4VTJIGPVEOQF5}

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	2026-05-18T01:55:41.947005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f6e23b541d838c72b34a0cfa91d02f61614edf5f911a89d16bcccd3f559c7d

Aliases

arxiv: 1503.01697 · arxiv_version: 1503.01697v6 · doi: 10.48550/arxiv.1503.01697 · pith_short_12: CP3OEO2UDWBY · pith_short_16: CP3OEO2UDWBYY4VT · pith_short_8: CP3OEO2U

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/CP3OEO2UDWBYY4VTJIGPVEOQF5 \
  | 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: 13f6e23b541d838c72b34a0cfa91d02f61614edf5f911a89d16bcccd3f559c7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d77248b3db1942dd65c5f0a1f5e50aa52de7fe760f8e5e3fa15e105a1dbe199a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-05T17:24:27Z",
    "title_canon_sha256": "23eb1fc4c23bbfd1f9510018d47cc40ca585d0e6790ab49e27bfdc62a139d677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01697",
    "kind": "arxiv",
    "version": 6
  }
}