Pith Number

pith:K2KQKXQ4

pith:2014:K2KQKXQ4U2TGOACAR2GUFO5QHC

not attested not anchored not stored refs pending

Darmon points on elliptic curves over number fields of arbitrary signature

Marc Masdeu, Mehmet Haluk Sengun, Xavier Guitart

arxiv:1404.6650 v1 · 2014-04-26 · math.NT · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2KQKXQ4U2TGOACAR2GUFO5QHC}

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	2026-05-18T00:44:29.049882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5695055e1ca6a66700408e8d42bbb0388d58b2d693b4abfe595b4b721508fcba

Aliases

arxiv: 1404.6650 · arxiv_version: 1404.6650v1 · doi: 10.48550/arxiv.1404.6650 · pith_short_12: K2KQKXQ4U2TG · pith_short_16: K2KQKXQ4U2TGOACA · pith_short_8: K2KQKXQ4

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/K2KQKXQ4U2TGOACAR2GUFO5QHC \
  | 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: 5695055e1ca6a66700408e8d42bbb0388d58b2d693b4abfe595b4b721508fcba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3b2976721db52e57c488fbe19d94fd1fdbb7013851df0772290fc910b36d616",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-26T14:52:50Z",
    "title_canon_sha256": "e9270decc3119cb2c40ec1f5aa48eb271813a42e2a248d30c1ad9b0e53edb79a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6650",
    "kind": "arxiv",
    "version": 1
  }
}