Pith Number

pith:KDNID6US

pith:2016:KDNID6US6B2N4CPFLBRPPRW63I

not attested not anchored not stored refs pending

Arithmetic properties of signed Selmer groups at non-ordinary primes

Antonio Lei, Jeffrey Hatley

arxiv:1608.00257 v5 · 2016-07-31 · 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{KDNID6US6B2N4CPFLBRPPRW63I}

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	2026-05-17T23:44:23.209894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50da81fa92f074de09e55862f7c6deda38576c4838df09ec2fde6fa115643ed0

Aliases

arxiv: 1608.00257 · arxiv_version: 1608.00257v5 · doi: 10.48550/arxiv.1608.00257 · pith_short_12: KDNID6US6B2N · pith_short_16: KDNID6US6B2N4CPF · pith_short_8: KDNID6US

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/KDNID6US6B2N4CPFLBRPPRW63I \
  | 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: 50da81fa92f074de09e55862f7c6deda38576c4838df09ec2fde6fa115643ed0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48a046a1cb70f8054802ca2489287860829d4a18d2517527289dab84d853c6c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-31T20:12:28Z",
    "title_canon_sha256": "b568394d9447462a6205d750f45e5a730167a3177875a27bb7b7e1c0fc5983bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00257",
    "kind": "arxiv",
    "version": 5
  }
}