Pith Number

pith:G5XHEGLT

pith:2018:G5XHEGLTBE7PVJ54ZDGXYIFHNB

not attested not anchored not stored refs pending

On the theory of higher rank Euler, Kolyvagin and Stark systems, II

David Burns, Ryotaro Sakamoto, Takamichi Sano

arxiv:1805.08448 v1 · 2018-05-22 · 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{G5XHEGLTBE7PVJ54ZDGXYIFHNB}

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	2026-05-18T00:15:26.446821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

376e721973093efaa7bcc8cd7c20a768794d96059a7aa2570da0cc85f90292e6

Aliases

arxiv: 1805.08448 · arxiv_version: 1805.08448v1 · doi: 10.48550/arxiv.1805.08448 · pith_short_12: G5XHEGLTBE7P · pith_short_16: G5XHEGLTBE7PVJ54 · pith_short_8: G5XHEGLT

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/G5XHEGLTBE7PVJ54ZDGXYIFHNB \
  | 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: 376e721973093efaa7bcc8cd7c20a768794d96059a7aa2570da0cc85f90292e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "409399bac57c12d132f56e5dd5d696c3b541611856fac19a39c123ad25e916d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-22T08:17:59Z",
    "title_canon_sha256": "99a403c7f0864c0e6e3b5ec4dec12175cc506cb3b37b6730d3aa8bdfb2eaf357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08448",
    "kind": "arxiv",
    "version": 1
  }
}