Pith Number

pith:YSA5TXBB

pith:2017:YSA5TXBBQ6KV7SL7VMPMB7QIKO

not attested not anchored not stored refs pending

On the local-global divisibility over ${\rm GL}_2$-type varieties

Florence Gillibert, Gabriele Ranieri

arxiv:1703.06235 v1 · 2017-03-18 · 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{YSA5TXBBQ6KV7SL7VMPMB7QIKO}

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	2026-05-18T00:48:23.547213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c481d9dc2187955fc97fab1ec0fe08539c090a696a07642e1bbc3841d3ab8cca

Aliases

arxiv: 1703.06235 · arxiv_version: 1703.06235v1 · doi: 10.48550/arxiv.1703.06235 · pith_short_12: YSA5TXBBQ6KV · pith_short_16: YSA5TXBBQ6KV7SL7 · pith_short_8: YSA5TXBB

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/YSA5TXBBQ6KV7SL7VMPMB7QIKO \
  | 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: c481d9dc2187955fc97fab1ec0fe08539c090a696a07642e1bbc3841d3ab8cca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54290c50c1c21899736ea592ce8ec373ff73a3154bf78c06cd5db0297b5f1c70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-18T02:37:50Z",
    "title_canon_sha256": "f9969b4927fec989bcdafd4a9f4137c56506b6c1f1c9496172269fd1cd28c7e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06235",
    "kind": "arxiv",
    "version": 1
  }
}