Pith Number

pith:OYL6A6D4

pith:2016:OYL6A6D4U3ATFAWW5MUVR62K4B

not attested not anchored not stored refs pending

On the local-global divisibility of torsion points on elliptic curves and ${\rm GL}_2$-type varieties

Florence Gillibert, Gabriele Ranieri

arxiv:1609.00410 v1 · 2016-09-01 · 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{OYL6A6D4U3ATFAWW5MUVR62K4B}

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	2026-05-18T01:06:23.934557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7617e0787ca6c13282d6eb2958fb4ae06cf94f00986acd960fde11f05903834d

Aliases

arxiv: 1609.00410 · arxiv_version: 1609.00410v1 · doi: 10.48550/arxiv.1609.00410 · pith_short_12: OYL6A6D4U3AT · pith_short_16: OYL6A6D4U3ATFAWW · pith_short_8: OYL6A6D4

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/OYL6A6D4U3ATFAWW5MUVR62K4B \
  | 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: 7617e0787ca6c13282d6eb2958fb4ae06cf94f00986acd960fde11f05903834d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19ac7a17e159dd02085521c96a23df74e6fb8f5eee3e8766fb70ef31512543f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-01T21:49:38Z",
    "title_canon_sha256": "8b55c18c04537da4c984747eb30494b3301d855bc944dfdaf8de4ac9c0810daf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00410",
    "kind": "arxiv",
    "version": 1
  }
}