Pith Number

pith:YBVDF73A

pith:2015:YBVDF73ANC23LJGNWOD42U77VK

not attested not anchored not stored refs pending

Beilinson-Kato and Beilinson-Flach elements, Coleman-Rubin-Stark classes, Heegner points and the Perrin-Riou Conjecture

Kazim B\"uy\"ukboduk

arxiv:1511.06131 v3 · 2015-11-19 · 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{YBVDF73ANC23LJGNWOD42U77VK}

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	2026-05-18T00:28:27.393019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c06a32ff6068b5b5a4cdb387cd53ffaaa06602b77e4230b1e3d524bbb3b7e6fa

Aliases

arxiv: 1511.06131 · arxiv_version: 1511.06131v3 · doi: 10.48550/arxiv.1511.06131 · pith_short_12: YBVDF73ANC23 · pith_short_16: YBVDF73ANC23LJGN · pith_short_8: YBVDF73A

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/YBVDF73ANC23LJGNWOD42U77VK \
  | 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: c06a32ff6068b5b5a4cdb387cd53ffaaa06602b77e4230b1e3d524bbb3b7e6fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b87eb77361574b978337522b8de920df2988b1325a5fa79a8a779f82baae44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-19T11:47:38Z",
    "title_canon_sha256": "10702a0c9d59daea35f63d05995567fa45dedd18a7ed0aa630bc0c4c717287cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06131",
    "kind": "arxiv",
    "version": 3
  }
}