Pith Number

pith:QYBOVCCB

pith:2013:QYBOVCCBW7N4OD26D6FR7CQS65

not attested not anchored not stored refs pending

The first p-jet space of an elliptic curve: global functions and lifts of Frobenius

Alexandru Buium, Arnab Saha

arxiv:1308.0578 v1 · 2013-08-02 · 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{QYBOVCCBW7N4OD26D6FR7CQS65}

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	2026-05-18T03:16:50.169019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8602ea8841b7dbc70f5e1f8b1f8a12f76ef78ff219f8425534304faa36ca0972

Aliases

arxiv: 1308.0578 · arxiv_version: 1308.0578v1 · doi: 10.48550/arxiv.1308.0578 · pith_short_12: QYBOVCCBW7N4 · pith_short_16: QYBOVCCBW7N4OD26 · pith_short_8: QYBOVCCB

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/QYBOVCCBW7N4OD26D6FR7CQS65 \
  | 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: 8602ea8841b7dbc70f5e1f8b1f8a12f76ef78ff219f8425534304faa36ca0972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a590e364147bc38332dbab488690a672fb2792538ba19399acdc92fb83ddab1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-02T18:54:28Z",
    "title_canon_sha256": "dc7008736c7d17c13139cf0fc1ad6cc880834a23cd56b3b301e815b5b6a42131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0578",
    "kind": "arxiv",
    "version": 1
  }
}