Pith Number

pith:MPADDBW7

pith:2016:MPADDBW7ZMMEV3L6CRIRO75NAQ

not attested not anchored not stored refs pending

CM cycles on Kuga-Sato varieties over Shimura curves and Selmer groups

Carlos de Vera-Piquero, Yara Elias

arxiv:1610.09627 v1 · 2016-10-30 · 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{MPADDBW7ZMMEV3L6CRIRO75NAQ}

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	2026-05-18T01:00:51.436302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c03186dfcb184aed7e1451177fad042a2495d45c69c4f4e79a10c22814d043

Aliases

arxiv: 1610.09627 · arxiv_version: 1610.09627v1 · doi: 10.48550/arxiv.1610.09627 · pith_short_12: MPADDBW7ZMME · pith_short_16: MPADDBW7ZMMEV3L6 · pith_short_8: MPADDBW7

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/MPADDBW7ZMMEV3L6CRIRO75NAQ \
  | 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: 63c03186dfcb184aed7e1451177fad042a2495d45c69c4f4e79a10c22814d043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e004bd6eebfce82e6c4ec9226101782f977b537cdd906b05c766286c7b3f5286",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-30T10:44:05Z",
    "title_canon_sha256": "a375346a13724399d3f0df4cfd569dc2c06ae407b9ca1783cc47a9bc5ebc5840"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09627",
    "kind": "arxiv",
    "version": 1
  }
}